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Number

1,288

1,288 is a composite number, even, a calendar year.

Abundant Number Arithmetic Number Happy Number Heptagonal Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number Year

Historical context — 1288 AD

Calendar year

Year 1288 (MCCLXXXVIII) was a leap year starting on Thursday of the Julian calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 · English fallback 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, 1288
Ended on
Friday
December 31, 1288
Friday the 13ths
2
2 Friday the 13ths this year.
Decade
1280s
1280–1289
Century
13th century
1201–1300
Millennium
2nd millennium
1001–2000
Years ago
738
738 years before 2026.

In other calendars

Hebrew
5048 / 5049 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
686 / 687 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Earth zodiac:Rat
Sexagenary cycle position 25 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1831 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
666 / 667 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1280 / 1281 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1210 / 1209 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
4
Digit sum
19
Digit product
128
Digital root
1
Palindrome
No
Bit width
11 bits
Reversed
8,821
Recamán's sequence
a(30,472) = 1,288
Square (n²)
1,658,944
Cube (n³)
2,136,719,872
Divisor count
16
σ(n) — sum of divisors
2,880
φ(n) — Euler's totient
528
Sum of prime factors
36

Primality

Prime factorization: 2 3 × 7 × 23

Nearest primes: 1,283 (−5) · 1,289 (+1)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 7 · 8 · 14 · 23 · 28 · 46 · 56 · 92 · 161 · 184 · 322 · 644 (half) · 1288
Aliquot sum (sum of proper divisors): 1,592
Factor pairs (a × b = 1,288)
1 × 1288
2 × 644
4 × 322
7 × 184
8 × 161
14 × 92
23 × 56
28 × 46
First multiples
1,288 · 2,576 (double) · 3,864 · 5,152 · 6,440 · 7,728 · 9,016 · 10,304 · 11,592 · 12,880

Sums & aliquot sequence

As consecutive integers: 181 + 182 + … + 187 73 + 74 + … + 88 45 + 46 + … + 67
Aliquot sequence: 1,288 1,592 1,408 1,652 1,708 1,764 3,423 1,825 469 75 49 8 7 1 0 — terminates at zero

Representations

In words
one thousand two hundred eighty-eight
Ordinal
1288th
Roman numeral
MCCLXXXVIII
Binary
10100001000
Octal
2410
Hexadecimal
0x508
Base64
BQg=
One's complement
64,247 (16-bit)
In other bases
ternary (3) 1202201
quaternary (4) 110020
quinary (5) 20123
senary (6) 5544
septenary (7) 3520
nonary (9) 1681
undecimal (11) a71
duodecimal (12) 8b4
tridecimal (13) 781
tetradecimal (14) 680
pentadecimal (15) 5ad

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ασπηʹ
Mayan (base 20)
𝋣·𝋤·𝋨
Chinese
一千二百八十八
Chinese (financial)
壹仟貳佰捌拾捌
In other modern scripts
Eastern Arabic ١٢٨٨ Devanagari १२८८ Bengali ১২৮৮ Tamil ௧௨௮௮ Thai ๑๒๘๘ Tibetan ༡༢༨༨ Khmer ១២៨៨ Lao ໑໒໘໘ Burmese ၁၂၈၈

Digit at this position in famous constants

π — Pi (π)
Digit 1,288 = 6
e — Euler's number (e)
Digit 1,288 = 3
φ — Golden ratio (φ)
Digit 1,288 = 5
√2 — Pythagoras's (√2)
Digit 1,288 = 2
ln 2 — Natural log of 2
Digit 1,288 = 8
γ — Euler-Mascheroni (γ)
Digit 1,288 = 5

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1288, here are decompositions:

  • 5 + 1283 = 1288
  • 11 + 1277 = 1288
  • 29 + 1259 = 1288
  • 59 + 1229 = 1288
  • 71 + 1217 = 1288
  • 101 + 1187 = 1288
  • 107 + 1181 = 1288
  • 137 + 1151 = 1288

Showing the first eight; more decompositions exist.

Unicode codepoint
Ԉ
Cyrillic Capital Letter Komi Lje
U+0508
Uppercase letter (Lu)

UTF-8 encoding: D4 88 (2 bytes).

Hex color
#000508
RGB(0, 5, 8)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.5.8.

Address
0.0.5.8
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.5.8

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

Position in π

The digit sequence 1288 first appears in π at position 20,335 of the decimal expansion (the 20,335ordinal-suffix:th 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.