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8,888

8,888 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

8,888 (eight thousand eight hundred eighty-eight) is an even 4-digit number. It is a composite number with 16 divisors, and factors as 2³ × 11 × 101. Its proper divisors sum to 9,472, more than the number itself, making it an abundant number. Its digits read the same forwards and backwards, so it is a palindromic number. Written other ways, in hexadecimal, 0x22B8.

Abundant Number Evil Number Flippable Gapful Number Palindrome Practical Number Recamán's Sequence Repdigit Semiperfect Number Strobogrammatic

Interestingness

Properties

Parity
Even
Digit count
4
Digit sum
32
Digit product
4,096
Digital root
5
Palindrome
Yes
Bit width
14 bits
Recamán's sequence
a(24,820) = 8,888
Square (n²)
78,996,544
Cube (n³)
702,121,283,072
Divisor count
16
σ(n) — sum of divisors
18,360
φ(n) — Euler's totient
4,000
Sum of prime factors
118

Primality

Prime factorization: 2 3 × 11 × 101

Nearest primes: 8,887 (−1) · 8,893 (+5)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 8 · 11 · 22 · 44 · 88 · 101 · 202 · 404 · 808 · 1111 · 2222 · 4444 (half) · 8888
Aliquot sum (sum of proper divisors): 9,472
Factor pairs (a × b = 8,888)
1 × 8888
2 × 4444
4 × 2222
8 × 1111
11 × 808
22 × 404
44 × 202
88 × 101
First multiples
8,888 · 17,776 (double) · 26,664 · 35,552 · 44,440 · 53,328 · 62,216 · 71,104 · 79,992 · 88,880

Sums & aliquot sequence

As consecutive integers: 803 + 804 + … + 813 548 + 549 + … + 563 38 + 39 + … + 138
Aliquot sequence: 8,888 9,472 9,946 4,976 4,696 4,124 3,100 3,844 3,107 253 35 13 1 0 — terminates at zero

Continued fraction of √n

√8,888 = [94; (3, 1, 1, 1, 1, 1, 3, 188)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
eight thousand eight hundred eighty-eight
Ordinal
8888th
Binary
10001010111000
Octal
21270
Hexadecimal
0x22B8
Base64
Irg=
One's complement
56,647 (16-bit)
Scientific notation
8.888 × 10³
As a duration
8,888 s = 2 hours, 28 minutes, 8 seconds
In other bases
ternary (3) 110012012
quaternary (4) 2022320
quinary (5) 241023
senary (6) 105052
septenary (7) 34625
nonary (9) 13165
undecimal (11) 6750
duodecimal (12) 5188
tridecimal (13) 4079
tetradecimal (14) 334c
pentadecimal (15) 2978

As an angle

8,888° = 24 × 360° + 248°
248° ≈ 4.328 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ηωπηʹ
Mayan (base 20)
𝋡·𝋢·𝋤·𝋨
Chinese
八千八百八十八
Chinese (financial)
捌仟捌佰捌拾捌
In other modern scripts
Eastern Arabic ٨٨٨٨ Devanagari ८८८८ Bengali ৮৮৮৮ Tamil ௮௮௮௮ Thai ๘๘๘๘ Tibetan ༨༨༨༨ Khmer ៨៨៨៨ Lao ໘໘໘໘ Burmese ၈၈၈၈

Digit at this position in famous constants

π — Pi (π)
Digit 8,888 = 2
e — Euler's number (e)
Digit 8,888 = 1
φ — Golden ratio (φ)
Digit 8,888 = 4
√2 — Pythagoras's (√2)
Digit 8,888 = 6
ln 2 — Natural log of 2
Digit 8,888 = 4
γ — Euler-Mascheroni (γ)
Digit 8,888 = 4

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 8888, here are decompositions:

  • 67 + 8821 = 8888
  • 109 + 8779 = 8888
  • 127 + 8761 = 8888
  • 151 + 8737 = 8888
  • 157 + 8731 = 8888
  • 181 + 8707 = 8888
  • 199 + 8689 = 8888
  • 211 + 8677 = 8888

Showing the first eight; more decompositions exist.

Unicode codepoint
Multimap
U+22B8
Math symbol (Sm)

UTF-8 encoding: E2 8A B8 (3 bytes).

Hex color
#0022B8
RGB(0, 34, 184)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.34.184.

Address
0.0.34.184
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.34.184

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

Musical pitch

Heard as a frequency, 8,888 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): C♯9 (8869.8 Hz, +4¢)
  • Scientific pitch (C4 = 256 Hz): C♯9 (8679.1 Hz, +41¢)
  • Baroque pitch (A4 = 415 Hz): D9 (8863.3 Hz, +5¢)
Position in π

The digit sequence 8888 first appears in π at position 4,751 of the decimal expansion (the 4,751ordinal-suffix:st digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Related reading

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.