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21,164

21,164 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 Odious Number Pernicious Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
14
Digit product
48
Digital root
5
Palindrome
No
Bit width
15 bits
Reversed
46,112
Recamán's sequence
a(41,511) = 21,164
Square (n²)
447,914,896
Cube (n³)
9,479,670,858,944
Divisor count
24
σ(n) — sum of divisors
44,688
φ(n) — Euler's totient
8,640
Sum of prime factors
65

Primality

Prime factorization: 2 2 × 11 × 13 × 37

Nearest primes: 21,163 (−1) · 21,169 (+5)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 11 · 13 · 22 · 26 · 37 · 44 · 52 · 74 · 143 · 148 · 286 · 407 · 481 · 572 · 814 · 962 · 1628 · 1924 · 5291 · 10582 (half) · 21164
Aliquot sum (sum of proper divisors): 23,524
Factor pairs (a × b = 21,164)
1 × 21164
2 × 10582
4 × 5291
11 × 1924
13 × 1628
22 × 962
26 × 814
37 × 572
44 × 481
52 × 407
74 × 286
143 × 148
First multiples
21,164 · 42,328 (double) · 63,492 · 84,656 · 105,820 · 126,984 · 148,148 · 169,312 · 190,476 · 211,640

Sums & aliquot sequence

As consecutive integers: 2,642 + 2,643 + … + 2,649 1,919 + 1,920 + … + 1,929 1,622 + 1,623 + … + 1,634 554 + 555 + … + 590
Aliquot sequence: 21,164 23,524 17,650 15,272 14,968 13,112 13,888 18,624 31,160 44,440 65,720 89,800 119,450 102,820 119,444 105,760 144,476 — unresolved within range

Representations

In words
twenty-one thousand one hundred sixty-four
Ordinal
21164th
Binary
101001010101100
Octal
51254
Hexadecimal
0x52AC
Base64
Uqw=
One's complement
44,371 (16-bit)
In other bases
ternary (3) 1002000212
quaternary (4) 11022230
quinary (5) 1134124
senary (6) 241552
septenary (7) 115463
nonary (9) 32025
undecimal (11) 149a0
duodecimal (12) 102b8
tridecimal (13) 9830
tetradecimal (14) 79da
pentadecimal (15) 640e

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵καρξδʹ
Mayan (base 20)
𝋢·𝋬·𝋲·𝋤
Chinese
二萬一千一百六十四
Chinese (financial)
貳萬壹仟壹佰陸拾肆
In other modern scripts
Eastern Arabic ٢١١٦٤ Devanagari २११६४ Bengali ২১১৬৪ Tamil ௨௧௧௬௪ Thai ๒๑๑๖๔ Tibetan ༢༡༡༦༤ Khmer ២១១៦៤ Lao ໒໑໑໖໔ Burmese ၂၁၁၆၄

Digit at this position in famous constants

π — Pi (π)
Digit 21,164 = 4
e — Euler's number (e)
Digit 21,164 = 7
φ — Golden ratio (φ)
Digit 21,164 = 2
√2 — Pythagoras's (√2)
Digit 21,164 = 7
ln 2 — Natural log of 2
Digit 21,164 = 3
γ — Euler-Mascheroni (γ)
Digit 21,164 = 8

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 21164, here are decompositions:

  • 7 + 21157 = 21164
  • 43 + 21121 = 21164
  • 97 + 21067 = 21164
  • 103 + 21061 = 21164
  • 151 + 21013 = 21164
  • 163 + 21001 = 21164
  • 181 + 20983 = 21164
  • 277 + 20887 = 21164

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-52Ac
U+52AC
Other letter (Lo)

UTF-8 encoding: E5 8A AC (3 bytes).

Hex color
#0052AC
RGB(0, 82, 172)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.82.172.

Address
0.0.82.172
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.82.172

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

Position in π

The digit sequence 21164 first appears in π at position 84,874 of the decimal expansion (the 84,874ordinal-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.