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21,288

21,288 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.).
Abundant Number Arithmetic Number Evil Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
21
Digit product
256
Digital root
3
Palindrome
No
Bit width
15 bits
Reversed
88,212
Recamán's sequence
a(41,263) = 21,288
Square (n²)
453,178,944
Cube (n³)
9,647,273,359,872
Divisor count
16
σ(n) — sum of divisors
53,280
φ(n) — Euler's totient
7,088
Sum of prime factors
896

Primality

Prime factorization: 2 3 × 3 × 887

Nearest primes: 21,283 (−5) · 21,313 (+25)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 24 · 887 · 1774 · 2661 · 3548 · 5322 · 7096 · 10644 (half) · 21288
Aliquot sum (sum of proper divisors): 31,992
Factor pairs (a × b = 21,288)
1 × 21288
2 × 10644
3 × 7096
4 × 5322
6 × 3548
8 × 2661
12 × 1774
24 × 887
First multiples
21,288 · 42,576 (double) · 63,864 · 85,152 · 106,440 · 127,728 · 149,016 · 170,304 · 191,592 · 212,880

Sums & aliquot sequence

As consecutive integers: 7,095 + 7,096 + 7,097 1,323 + 1,324 + … + 1,338 420 + 421 + … + 467
Aliquot sequence: 21,288 31,992 52,488 95,127 35,289 17,031 8,953 1,287 897 447 153 81 40 50 43 1 0 — terminates at zero

Representations

In words
twenty-one thousand two hundred eighty-eight
Ordinal
21288th
Binary
101001100101000
Octal
51450
Hexadecimal
0x5328
Base64
Uyg=
One's complement
44,247 (16-bit)
In other bases
ternary (3) 1002012110
quaternary (4) 11030220
quinary (5) 1140123
senary (6) 242320
septenary (7) 116031
nonary (9) 32173
undecimal (11) 14aa3
duodecimal (12) 103a0
tridecimal (13) 98c7
tetradecimal (14) 7a88
pentadecimal (15) 6493

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵κασπηʹ
Mayan (base 20)
𝋢·𝋭·𝋤·𝋨
Chinese
二萬一千二百八十八
Chinese (financial)
貳萬壹仟貳佰捌拾捌
In other modern scripts
Eastern Arabic ٢١٢٨٨ Devanagari २१२८८ Bengali ২১২৮৮ Tamil ௨௧௨௮௮ Thai ๒๑๒๘๘ Tibetan ༢༡༢༨༨ Khmer ២១២៨៨ Lao ໒໑໒໘໘ Burmese ၂၁၂၈၈

Digit at this position in famous constants

π — Pi (π)
Digit 21,288 = 8
e — Euler's number (e)
Digit 21,288 = 3
φ — Golden ratio (φ)
Digit 21,288 = 3
√2 — Pythagoras's (√2)
Digit 21,288 = 4
ln 2 — Natural log of 2
Digit 21,288 = 2
γ — Euler-Mascheroni (γ)
Digit 21,288 = 4

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 21288, here are decompositions:

  • 5 + 21283 = 21288
  • 11 + 21277 = 21288
  • 19 + 21269 = 21288
  • 41 + 21247 = 21288
  • 61 + 21227 = 21288
  • 67 + 21221 = 21288
  • 97 + 21191 = 21288
  • 101 + 21187 = 21288

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-5328
U+5328
Other letter (Lo)

UTF-8 encoding: E5 8C A8 (3 bytes).

Hex color
#005328
RGB(0, 83, 40)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.83.40.

Address
0.0.83.40
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.83.40

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

Position in π

The digit sequence 21288 first appears in π at position 59,199 of the decimal expansion (the 59,199ordinal-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.