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21,372

21,372 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 Practical Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
15
Digit product
84
Digital root
6
Palindrome
No
Bit width
15 bits
Reversed
27,312
Recamán's sequence
a(41,095) = 21,372
Square (n²)
456,762,384
Cube (n³)
9,761,925,670,848
Divisor count
24
σ(n) — sum of divisors
54,096
φ(n) — Euler's totient
6,528
Sum of prime factors
157

Primality

Prime factorization: 2 2 × 3 × 13 × 137

Nearest primes: 21,347 (−25) · 21,377 (+5)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 4 · 6 · 12 · 13 · 26 · 39 · 52 · 78 · 137 · 156 · 274 · 411 · 548 · 822 · 1644 · 1781 · 3562 · 5343 · 7124 · 10686 (half) · 21372
Aliquot sum (sum of proper divisors): 32,724
Factor pairs (a × b = 21,372)
1 × 21372
2 × 10686
3 × 7124
4 × 5343
6 × 3562
12 × 1781
13 × 1644
26 × 822
39 × 548
52 × 411
78 × 274
137 × 156
First multiples
21,372 · 42,744 (double) · 64,116 · 85,488 · 106,860 · 128,232 · 149,604 · 170,976 · 192,348 · 213,720

Sums & aliquot sequence

As consecutive integers: 7,123 + 7,124 + 7,125 2,668 + 2,669 + … + 2,675 1,638 + 1,639 + … + 1,650 879 + 880 + … + 902
Aliquot sequence: 21,372 32,724 53,670 75,210 114,870 200,778 205,782 205,794 268,446 268,458 274,998 275,010 398,910 558,546 568,878 588,882 781,854 — unresolved within range

Representations

In words
twenty-one thousand three hundred seventy-two
Ordinal
21372nd
Binary
101001101111100
Octal
51574
Hexadecimal
0x537C
Base64
U3w=
One's complement
44,163 (16-bit)
In other bases
ternary (3) 1002022120
quaternary (4) 11031330
quinary (5) 1140442
senary (6) 242540
septenary (7) 116211
nonary (9) 32276
undecimal (11) 1506a
duodecimal (12) 10450
tridecimal (13) 9960
tetradecimal (14) 7b08
pentadecimal (15) 64ec

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵κατοβʹ
Mayan (base 20)
𝋢·𝋭·𝋨·𝋬
Chinese
二萬一千三百七十二
Chinese (financial)
貳萬壹仟參佰柒拾貳
In other modern scripts
Eastern Arabic ٢١٣٧٢ Devanagari २१३७२ Bengali ২১৩৭২ Tamil ௨௧௩௭௨ Thai ๒๑๓๗๒ Tibetan ༢༡༣༧༢ Khmer ២១៣៧២ Lao ໒໑໓໗໒ Burmese ၂၁၃၇၂

Digit at this position in famous constants

π — Pi (π)
Digit 21,372 = 4
e — Euler's number (e)
Digit 21,372 = 0
φ — Golden ratio (φ)
Digit 21,372 = 1
√2 — Pythagoras's (√2)
Digit 21,372 = 6
ln 2 — Natural log of 2
Digit 21,372 = 8
γ — Euler-Mascheroni (γ)
Digit 21,372 = 8

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 21372, here are decompositions:

  • 31 + 21341 = 21372
  • 53 + 21319 = 21372
  • 59 + 21313 = 21372
  • 89 + 21283 = 21372
  • 103 + 21269 = 21372
  • 151 + 21221 = 21372
  • 179 + 21193 = 21372
  • 181 + 21191 = 21372

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-537C
U+537C
Other letter (Lo)

UTF-8 encoding: E5 8D BC (3 bytes).

Hex color
#00537C
RGB(0, 83, 124)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.83.124.

Address
0.0.83.124
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.83.124

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

Position in π

The digit sequence 21372 first appears in π at position 23,431 of the decimal expansion (the 23,431ordinal-suffix:st 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.