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21,720

21,720 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 Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
15 bits
Reversed
2,712
Recamán's sequence
a(40,399) = 21,720
Square (n²)
471,758,400
Cube (n³)
10,246,592,448,000
Divisor count
32
σ(n) — sum of divisors
65,520
φ(n) — Euler's totient
5,760
Sum of prime factors
195

Primality

Prime factorization: 2 3 × 3 × 5 × 181

Nearest primes: 21,713 (−7) · 21,727 (+7)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 20 · 24 · 30 · 40 · 60 · 120 · 181 · 362 · 543 · 724 · 905 · 1086 · 1448 · 1810 · 2172 · 2715 · 3620 · 4344 · 5430 · 7240 · 10860 (half) · 21720
Aliquot sum (sum of proper divisors): 43,800
Factor pairs (a × b = 21,720)
1 × 21720
2 × 10860
3 × 7240
4 × 5430
5 × 4344
6 × 3620
8 × 2715
10 × 2172
12 × 1810
15 × 1448
20 × 1086
24 × 905
30 × 724
40 × 543
60 × 362
120 × 181
First multiples
21,720 · 43,440 (double) · 65,160 · 86,880 · 108,600 · 130,320 · 152,040 · 173,760 · 195,480 · 217,200

Sums & aliquot sequence

As consecutive integers: 7,239 + 7,240 + 7,241 4,342 + 4,343 + 4,344 + 4,345 + 4,346 1,441 + 1,442 + … + 1,455 1,350 + 1,351 + … + 1,365
Aliquot sequence: 21,720 43,800 93,840 227,568 415,248 688,848 1,120,560 3,164,880 6,646,992 12,086,928 28,342,032 45,117,552 79,735,568 89,795,248 88,427,720 111,382,000 157,944,512 — unresolved within range

Representations

In words
twenty-one thousand seven hundred twenty
Ordinal
21720th
Binary
101010011011000
Octal
52330
Hexadecimal
0x54D8
Base64
VNg=
One's complement
43,815 (16-bit)
In other bases
ternary (3) 1002210110
quaternary (4) 11103120
quinary (5) 1143340
senary (6) 244320
septenary (7) 120216
nonary (9) 32713
undecimal (11) 15356
duodecimal (12) 106a0
tridecimal (13) 9b6a
tetradecimal (14) 7cb6
pentadecimal (15) 6680

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹 ·
Egyptian hieroglyphic
𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵καψκʹ
Mayan (base 20)
𝋢·𝋮·𝋦·𝋠
Chinese
二萬一千七百二十
Chinese (financial)
貳萬壹仟柒佰貳拾
In other modern scripts
Eastern Arabic ٢١٧٢٠ Devanagari २१७२० Bengali ২১৭২০ Tamil ௨௧௭௨௦ Thai ๒๑๗๒๐ Tibetan ༢༡༧༢༠ Khmer ២១៧២០ Lao ໒໑໗໒໐ Burmese ၂၁၇၂၀

Digit at this position in famous constants

π — Pi (π)
Digit 21,720 = 2
e — Euler's number (e)
Digit 21,720 = 7
φ — Golden ratio (φ)
Digit 21,720 = 8
√2 — Pythagoras's (√2)
Digit 21,720 = 4
ln 2 — Natural log of 2
Digit 21,720 = 8
γ — Euler-Mascheroni (γ)
Digit 21,720 = 4

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 21720, here are decompositions:

  • 7 + 21713 = 21720
  • 19 + 21701 = 21720
  • 37 + 21683 = 21720
  • 47 + 21673 = 21720
  • 59 + 21661 = 21720
  • 71 + 21649 = 21720
  • 73 + 21647 = 21720
  • 103 + 21617 = 21720

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-54D8
U+54D8
Other letter (Lo)

UTF-8 encoding: E5 93 98 (3 bytes).

Hex color
#0054D8
RGB(0, 84, 216)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.84.216.

Address
0.0.84.216
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.84.216

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

Possible US bank routing number

This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.

Routing number
000021720
Federal Reserve
United States Government

Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.

Position in π

The digit sequence 21720 first appears in π at position 48,342 of the decimal expansion (the 48,342ordinal-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.