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21,988

21,988 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.).
Arithmetic Number Deficient Number Evil Number Recamán's Sequence

Properties

Parity
Even
Digit count
5
Digit sum
28
Digit product
1,152
Digital root
1
Palindrome
No
Bit width
15 bits
Reversed
88,912
Recamán's sequence
a(167,787) = 21,988
Square (n²)
483,472,144
Cube (n³)
10,630,585,502,272
Divisor count
12
σ(n) — sum of divisors
40,320
φ(n) — Euler's totient
10,472
Sum of prime factors
266

Primality

Prime factorization: 2 2 × 23 × 239

Nearest primes: 21,977 (−11) · 21,991 (+3)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 23 · 46 · 92 · 239 · 478 · 956 · 5497 · 10994 (half) · 21988
Aliquot sum (sum of proper divisors): 18,332
Factor pairs (a × b = 21,988)
1 × 21988
2 × 10994
4 × 5497
23 × 956
46 × 478
92 × 239
First multiples
21,988 · 43,976 (double) · 65,964 · 87,952 · 109,940 · 131,928 · 153,916 · 175,904 · 197,892 · 219,880

Sums & aliquot sequence

As consecutive integers: 2,745 + 2,746 + … + 2,752 945 + 946 + … + 967 28 + 29 + … + 211
Aliquot sequence: 21,988 18,332 13,756 11,724 15,660 34,740 71,184 112,832 121,864 106,646 53,326 45,458 37,486 18,746 16,198 14,042 11,878 — unresolved within range

Representations

In words
twenty-one thousand nine hundred eighty-eight
Ordinal
21988th
Binary
101010111100100
Octal
52744
Hexadecimal
0x55E4
Base64
VeQ=
One's complement
43,547 (16-bit)
In other bases
ternary (3) 1010011101
quaternary (4) 11113210
quinary (5) 1200423
senary (6) 245444
septenary (7) 121051
nonary (9) 33141
undecimal (11) 1557a
duodecimal (12) 10884
tridecimal (13) a015
tetradecimal (14) 8028
pentadecimal (15) 67ad

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵καϡπηʹ
Mayan (base 20)
𝋢·𝋮·𝋳·𝋨
Chinese
二萬一千九百八十八
Chinese (financial)
貳萬壹仟玖佰捌拾捌
In other modern scripts
Eastern Arabic ٢١٩٨٨ Devanagari २१९८८ Bengali ২১৯৮৮ Tamil ௨௧௯௮௮ Thai ๒๑๙๘๘ Tibetan ༢༡༩༨༨ Khmer ២១៩៨៨ Lao ໒໑໙໘໘ Burmese ၂၁၉၈၈

Digit at this position in famous constants

π — Pi (π)
Digit 21,988 = 0
e — Euler's number (e)
Digit 21,988 = 1
φ — Golden ratio (φ)
Digit 21,988 = 9
√2 — Pythagoras's (√2)
Digit 21,988 = 1
ln 2 — Natural log of 2
Digit 21,988 = 6
γ — Euler-Mascheroni (γ)
Digit 21,988 = 3

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 21988, here are decompositions:

  • 11 + 21977 = 21988
  • 59 + 21929 = 21988
  • 107 + 21881 = 21988
  • 137 + 21851 = 21988
  • 149 + 21839 = 21988
  • 167 + 21821 = 21988
  • 251 + 21737 = 21988
  • 389 + 21599 = 21988

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-55E4
U+55E4
Other letter (Lo)

UTF-8 encoding: E5 97 A4 (3 bytes).

Hex color
#0055E4
RGB(0, 85, 228)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.85.228.

Address
0.0.85.228
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.85.228

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

Position in π

The digit sequence 21988 first appears in π at position 88,544 of the decimal expansion (the 88,544ordinal-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.