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21,264

21,264 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 Gapful Number Odious Number Pernicious Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
15
Digit product
96
Digital root
6
Palindrome
No
Bit width
15 bits
Reversed
46,212
Recamán's sequence
a(41,311) = 21,264
Square (n²)
452,157,696
Cube (n³)
9,614,681,247,744
Divisor count
20
σ(n) — sum of divisors
55,056
φ(n) — Euler's totient
7,072
Sum of prime factors
454

Primality

Prime factorization: 2 4 × 3 × 443

Nearest primes: 21,247 (−17) · 21,269 (+5)

Divisors & multiples

All divisors (20)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 24 · 48 · 443 · 886 · 1329 · 1772 · 2658 · 3544 · 5316 · 7088 · 10632 (half) · 21264
Aliquot sum (sum of proper divisors): 33,792
Factor pairs (a × b = 21,264)
1 × 21264
2 × 10632
3 × 7088
4 × 5316
6 × 3544
8 × 2658
12 × 1772
16 × 1329
24 × 886
48 × 443
First multiples
21,264 · 42,528 (double) · 63,792 · 85,056 · 106,320 · 127,584 · 148,848 · 170,112 · 191,376 · 212,640

Sums & aliquot sequence

As consecutive integers: 7,087 + 7,088 + 7,089 649 + 650 + … + 680 174 + 175 + … + 269
Aliquot sequence: 21,264 33,792 64,464 114,096 180,776 164,824 172,496 161,746 99,578 49,792 49,658 35,494 17,750 15,946 13,430 12,490 10,010 — unresolved within range

Representations

In words
twenty-one thousand two hundred sixty-four
Ordinal
21264th
Binary
101001100010000
Octal
51420
Hexadecimal
0x5310
Base64
UxA=
One's complement
44,271 (16-bit)
In other bases
ternary (3) 1002011120
quaternary (4) 11030100
quinary (5) 1140024
senary (6) 242240
septenary (7) 115665
nonary (9) 32146
undecimal (11) 14a81
duodecimal (12) 10380
tridecimal (13) 98a9
tetradecimal (14) 7a6c
pentadecimal (15) 6479

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵κασξδʹ
Mayan (base 20)
𝋢·𝋭·𝋣·𝋤
Chinese
二萬一千二百六十四
Chinese (financial)
貳萬壹仟貳佰陸拾肆
In other modern scripts
Eastern Arabic ٢١٢٦٤ Devanagari २१२६४ Bengali ২১২৬৪ Tamil ௨௧௨௬௪ Thai ๒๑๒๖๔ Tibetan ༢༡༢༦༤ Khmer ២១២៦៤ Lao ໒໑໒໖໔ Burmese ၂၁၂၆၄

Digit at this position in famous constants

π — Pi (π)
Digit 21,264 = 6
e — Euler's number (e)
Digit 21,264 = 2
φ — Golden ratio (φ)
Digit 21,264 = 4
√2 — Pythagoras's (√2)
Digit 21,264 = 0
ln 2 — Natural log of 2
Digit 21,264 = 6
γ — Euler-Mascheroni (γ)
Digit 21,264 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 21264, here are decompositions:

  • 17 + 21247 = 21264
  • 37 + 21227 = 21264
  • 43 + 21221 = 21264
  • 53 + 21211 = 21264
  • 71 + 21193 = 21264
  • 73 + 21191 = 21264
  • 101 + 21163 = 21264
  • 107 + 21157 = 21264

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-5310
U+5310
Other letter (Lo)

UTF-8 encoding: E5 8C 90 (3 bytes).

Hex color
#005310
RGB(0, 83, 16)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.83.16.

Address
0.0.83.16
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.83.16

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

Position in π

The digit sequence 21264 first appears in π at position 227,192 of the decimal expansion (the 227,192ordinal-suffix:nd 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.