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Number

888

888 — Prosperity, and the number of Jesus

888 is a composite number, even, a calendar year.

In Chinese culture 888 is 8 raised to the power of exaltation. If a single 八 () already sounds like 发 (, "prosper"), three of them stack the blessing threefold, and the market agrees: addresses, phone numbers and licence plates carrying 888 change hands for real premiums, and the digits turn up everywhere from shop names to the price tags of "lucky" goods.

Half a world and two millennia away, the same number was read as a name. In Greek — where letters double as numerals — the letters of Ἰησοῦς ("Jesus") sum to 888. Early Christian writers, including the author of the Sibylline Oracles, made much of this: set against 666, the number of the Beast, and even above the sevenfold perfection of 777, the figure 888 was taken as "superabundant," overflowing past completeness.

It is a neat coincidence of two numeral systems built on the same idea — that a word can be a sum — arriving at the very same three eights, one culture hearing wealth in it and another hearing a name.

Sources https://en.wikipedia.org/wiki/888_(number) · https://en.wikipedia.org/wiki/Numbers_in_Chinese_culture
Abundant Number Curated Evil Number Flippable Happy Number Harshad / Niven Lucky Number Moran Number Palindrome Practical Number Recamán's Sequence Repdigit Semiperfect Number Strobogrammatic

Interestingness

11 notable facts · grade A
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Historical context — 888 AD

Calendar year

Year 888 (DCCCLXXXVIII) was a leap year starting on Monday of the Julian calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 Read the full article on Wikipedia →

Historical context — 888 BC

Decade

This article concerns the period 889 BC – 880 BC.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 Read the full article on Wikipedia →

Year facts

Year type
Leap year
Divisible by 4 and not by 100; February has 29 days.
Days in year
366
ISO weeks
53
Long year: contains 53 ISO weeks.
Started on
Thursday
January 1, 888
Ended on
Friday
December 31, 888
Friday the 13ths
2
2 Friday the 13ths this year.
Decade
880s
880–889
Century
9th century
801–900
Millennium
1st millennium
1–1000
Years ago
1,138
1138 years before 2026.

In other calendars

Hebrew
4648 / 4649 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
274 / 275 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Earth zodiac:Monkey
Sexagenary cycle position 45 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1431 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
266 / 267 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
880 / 881 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
810 / 809 Saka
Indian national calendar; year starts in March.

Cultural significance

Chinese lucky

Triple prosperity — extremely auspicious; commands premium prices for license plates and phone numbers.

Triple 8 amplifies the wealth-prosperity association of 八/发.

Christian sacred

Numerical value of Ἰησοῦς ("Jesus") in Greek isopsephy.

Early Christian writers (e.g., the Sibylline Oracles) noted this gematria coincidence.

Sourced from Wikipedia (Numerology, Chinese numerology, Gematria, and per-culture articles).

Properties

Parity
Even
Digit count
3
Digit sum
24
Digit product
512
Digital root
6
Palindrome
Yes
Bit width
10 bits
Recamán's sequence
a(527) = 888
Square (n²)
788,544
Cube (n³)
700,227,072
Divisor count
16
σ(n) — sum of divisors
2,280
φ(n) — Euler's totient
288
Sum of prime factors
46

Primality

Prime factorization: 2 3 × 3 × 37

Nearest primes: 887 (−1) · 907 (+19)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 24 · 37 · 74 · 111 · 148 · 222 · 296 · 444 (half) · 888
Aliquot sum (sum of proper divisors): 1,392
Factor pairs (a × b = 888)
1 × 888
2 × 444
3 × 296
4 × 222
6 × 148
8 × 111
12 × 74
24 × 37
First multiples
888 · 1,776 (double) · 2,664 · 3,552 · 4,440 · 5,328 · 6,216 · 7,104 · 7,992 · 8,880

Sums & aliquot sequence

As consecutive integers: 295 + 296 + 297 48 + 49 + … + 63 6 + 7 + … + 42
Aliquot sequence: 888 1,392 2,328 3,552 6,024 9,096 13,704 20,616 30,984 46,536 86,904 165,816 367,704 628,356 837,836 628,384 630,356 — unresolved within range

Continued fraction of √n

√888 = [29; (1, 3, 1, 58)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words
eight hundred eighty-eight
Ordinal
888th
Roman numeral
DCCCLXXXVIII
Binary
1101111000
Octal
1570
Hexadecimal
0x378
Base64
A3g=
One's complement
64,647 (16-bit)
Scientific notation
8.88 × 10²
As a duration
888 s = 14 minutes, 48 seconds
In other bases
ternary (3) 1012220
quaternary (4) 31320
quinary (5) 12023
senary (6) 4040
septenary (7) 2406
nonary (9) 1186
undecimal (11) 738
duodecimal (12) 620
tridecimal (13) 534
tetradecimal (14) 476
pentadecimal (15) 3e3
Palindromic in base 15

As an angle

888° = 2 × 360° + 168°
168° ≈ 2.932 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
ωπηʹ
Mayan (base 20)
𝋢·𝋤·𝋨
Chinese
八百八十八
Chinese (financial)
捌佰捌拾捌
In other modern scripts
Eastern Arabic ٨٨٨ Devanagari ८८८ Bengali ৮৮৮ Tamil ௮௮௮ Thai ๘๘๘ Tibetan ༨༨༨ Khmer ៨៨៨ Lao ໘໘໘ Burmese ၈၈၈

Digit at this position in famous constants

π — Pi (π)
Digit 888 = 1
e — Euler's number (e)
Digit 888 = 8
φ — Golden ratio (φ)
Digit 888 = 3
√2 — Pythagoras's (√2)
Digit 888 = 4
ln 2 — Natural log of 2
Digit 888 = 4
γ — Euler-Mascheroni (γ)
Digit 888 = 1

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 888, here are decompositions:

  • 5 + 883 = 888
  • 7 + 881 = 888
  • 11 + 877 = 888
  • 29 + 859 = 888
  • 31 + 857 = 888
  • 59 + 829 = 888
  • 61 + 827 = 888
  • 67 + 821 = 888

Showing the first eight; more decompositions exist.

Hex color
#000378
RGB(0, 3, 120)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.3.120.

Address
0.0.3.120
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.3.120

Unspecified address (0.0.0.0/8) — "this network" placeholder.

NANP area code 888

The number 888 is an active NANP area code (North American Numbering Plan).

Primary area
Toll-free
Region
(special)
Country
North America

Most NANP area codes have multiple overlays in dense regions; the primary area listed is the historic/largest population center for this code.

Musical pitch

Heard as a frequency, 888 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): A5 (880 Hz, +16¢)
  • Scientific pitch (C4 = 256 Hz): A♯5 (912.3 Hz, -47¢ — about midway to A5)
  • Baroque pitch (A4 = 415 Hz): A♯5 (879.4 Hz, +17¢)

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.