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Number

1,088

1,088 is a composite number, even, a calendar year.

Abundant Number Evil Number Flippable Happy Number Harshad / Niven Pernicious Number Practical Number Recamán's Sequence Semiperfect Number Year

Historical context — 1088 AD

Calendar year

Year 1088 (MLXXXVIII) was a leap year starting on Saturday 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
52
Started on
Sunday
January 1, 1088
Ended on
Monday
December 31, 1088
Friday the 13ths
3
3 Friday the 13ths this year.
Decade
1080s
1080–1089
Century
11th century
1001–1100
Millennium
2nd millennium
1001–2000
Years ago
938
938 years before 2026.

In other calendars

Hebrew
4848 / 4849 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
480 / 481 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Earth zodiac:Dragon
Sexagenary cycle position 5 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1631 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
466 / 467 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1080 / 1081 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1010 / 1009 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
4
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
11 bits
Reversed
8,801
Flips to (rotate 180°)
8,801
Recamán's sequence
a(4,243) = 1,088
Square (n²)
1,183,744
Cube (n³)
1,287,913,472
Divisor count
14
σ(n) — sum of divisors
2,286
φ(n) — Euler's totient
512
Sum of prime factors
29

Primality

Prime factorization: 2 6 × 17

Nearest primes: 1,087 (−1) · 1,091 (+3)

Divisors & multiples

All divisors (14)
1 · 2 · 4 · 8 · 16 · 17 · 32 · 34 · 64 · 68 · 136 · 272 · 544 (half) · 1088
Aliquot sum (sum of proper divisors): 1,198
Factor pairs (a × b = 1,088)
1 × 1088
2 × 544
4 × 272
8 × 136
16 × 68
17 × 64
32 × 34
First multiples
1,088 · 2,176 (double) · 3,264 · 4,352 · 5,440 · 6,528 · 7,616 · 8,704 · 9,792 · 10,880

Sums & aliquot sequence

As a sum of two squares: 8² + 32²
As consecutive integers: 56 + 57 + … + 72
Aliquot sequence: 1,088 1,198 602 454 230 202 104 106 56 64 63 41 1 0 — terminates at zero

Representations

In words
one thousand eighty-eight
Ordinal
1088th
Roman numeral
MLXXXVIII
Binary
10001000000
Octal
2100
Hexadecimal
0x440
Base64
BEA=
One's complement
64,447 (16-bit)
In other bases
ternary (3) 1111022
quaternary (4) 101000
quinary (5) 13323
senary (6) 5012
septenary (7) 3113
nonary (9) 1438
undecimal (11) 8aa
duodecimal (12) 768
tridecimal (13) 659
tetradecimal (14) 57a
pentadecimal (15) 4c8

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵απηʹ
Mayan (base 20)
𝋢·𝋮·𝋨
Chinese
一千零八十八
Chinese (financial)
壹仟零捌拾捌
In other modern scripts
Eastern Arabic ١٠٨٨ Devanagari १०८८ Bengali ১০৮৮ Tamil ௧௦௮௮ Thai ๑๐๘๘ Tibetan ༡༠༨༨ Khmer ១០៨៨ Lao ໑໐໘໘ Burmese ၁၀၈၈

Digit at this position in famous constants

π — Pi (π)
Digit 1,088 = 7
e — Euler's number (e)
Digit 1,088 = 9
φ — Golden ratio (φ)
Digit 1,088 = 7
√2 — Pythagoras's (√2)
Digit 1,088 = 0
ln 2 — Natural log of 2
Digit 1,088 = 4
γ — Euler-Mascheroni (γ)
Digit 1,088 = 1

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1088, here are decompositions:

  • 19 + 1069 = 1088
  • 37 + 1051 = 1088
  • 67 + 1021 = 1088
  • 79 + 1009 = 1088
  • 97 + 991 = 1088
  • 151 + 937 = 1088
  • 181 + 907 = 1088
  • 211 + 877 = 1088

Showing the first eight; more decompositions exist.

Unicode codepoint
р
Cyrillic Small Letter Er
U+0440
Lowercase letter (Ll)

UTF-8 encoding: D1 80 (2 bytes).

Hex color
#000440
RGB(0, 4, 64)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.64.

Address
0.0.4.64
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.4.64

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

Position in π

The digit sequence 1088 first appears in π at position 23,295 of the decimal expansion (the 23,295ordinal-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.