number.wiki
Number

2,088

2,088 is a composite number, even, a calendar year.

Abundant Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Self Number Semiperfect Number Year

Historical context — 2088 AD

Current millennium spanning the years 2001 to 3000

The third millennium of the Anno Domini or Common Era is the current millennium spanning the years 2001 to 3000.

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, 2088
Ended on
Friday
December 31, 2088
Friday the 13ths
2
2 Friday the 13ths this year.
Easter Sunday
April 11
Sunday, April 11, 2088
Decade
2080s
2080–2089
Century
21st century
2001–2100
Millennium
3rd millennium
2001–3000
Years until
62
62 years after 2026.
US presidential election
Yes
US holds a presidential election in years divisible by 4 starting from 1788.
Summer Olympics
Yes

In other calendars

Hebrew
5848 / 5849 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
1511 / 1512 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
2631 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
1466 / 1467 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
2080 / 2081 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
2010 / 2009 Saka
Indian national calendar; year starts in March.
Japanese
Reiwa 70
Reign-era counting from the start of each emperor's reign.

Properties

Parity
Even
Digit count
4
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
12 bits
Reversed
8,802
Recamán's sequence
a(3,575) = 2,088
Square (n²)
4,359,744
Cube (n³)
9,103,145,472
Divisor count
24
σ(n) — sum of divisors
5,850
φ(n) — Euler's totient
672
Sum of prime factors
41

Primality

Prime factorization: 2 3 × 3 2 × 29

Nearest primes: 2,087 (−1) · 2,089 (+1)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 18 · 24 · 29 · 36 · 58 · 72 · 87 · 116 · 174 · 232 · 261 · 348 · 522 · 696 · 1044 (half) · 2088
Aliquot sum (sum of proper divisors): 3,762
Factor pairs (a × b = 2,088)
1 × 2088
2 × 1044
3 × 696
4 × 522
6 × 348
8 × 261
9 × 232
12 × 174
18 × 116
24 × 87
29 × 72
36 × 58
First multiples
2,088 · 4,176 (double) · 6,264 · 8,352 · 10,440 · 12,528 · 14,616 · 16,704 · 18,792 · 20,880

Sums & aliquot sequence

As a sum of two squares: 18² + 42²
As consecutive integers: 695 + 696 + 697 228 + 229 + … + 236 123 + 124 + … + 138 58 + 59 + … + 86
Aliquot sequence: 2,088 3,762 5,598 6,570 10,746 13,254 13,830 19,434 20,886 21,606 25,098 26,742 26,754 40,446 63,234 77,406 110,754 — unresolved within range

Representations

In words
two thousand eighty-eight
Ordinal
2088th
Roman numeral
MMLXXXVIII
Binary
100000101000
Octal
4050
Hexadecimal
0x828
Base64
CCg=
One's complement
63,447 (16-bit)
In other bases
ternary (3) 2212100
quaternary (4) 200220
quinary (5) 31323
senary (6) 13400
septenary (7) 6042
nonary (9) 2770
undecimal (11) 1629
duodecimal (12) 1260
tridecimal (13) c48
tetradecimal (14) a92
pentadecimal (15) 943

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵βπηʹ
Mayan (base 20)
𝋥·𝋤·𝋨
Chinese
二千零八十八
Chinese (financial)
貳仟零捌拾捌
In other modern scripts
Eastern Arabic ٢٠٨٨ Devanagari २०८८ Bengali ২০৮৮ Tamil ௨௦௮௮ Thai ๒๐๘๘ Tibetan ༢༠༨༨ Khmer ២០៨៨ Lao ໒໐໘໘ Burmese ၂၀၈၈

Digit at this position in famous constants

π — Pi (π)
Digit 2,088 = 3
e — Euler's number (e)
Digit 2,088 = 8
φ — Golden ratio (φ)
Digit 2,088 = 4
√2 — Pythagoras's (√2)
Digit 2,088 = 0
ln 2 — Natural log of 2
Digit 2,088 = 7
γ — Euler-Mascheroni (γ)
Digit 2,088 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 2088, here are decompositions:

  • 5 + 2083 = 2088
  • 7 + 2081 = 2088
  • 19 + 2069 = 2088
  • 59 + 2029 = 2088
  • 61 + 2027 = 2088
  • 71 + 2017 = 2088
  • 89 + 1999 = 2088
  • 101 + 1987 = 2088

Showing the first eight; more decompositions exist.

Unicode codepoint
Samaritan Modifier Letter I
U+0828
Modifier letter (Lm)

UTF-8 encoding: E0 A0 A8 (3 bytes).

Hex color
#000828
RGB(0, 8, 40)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.8.40.

Address
0.0.8.40
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.8.40

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

Position in π

The digit sequence 2088 first appears in π at position 9,336 of the decimal expansion (the 9,336ordinal-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.