number.wiki
Live analysis

21,712

21,712 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 Palindrome Practical Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
13
Digit product
28
Digital root
4
Palindrome
Yes
Bit width
15 bits
Recamán's sequence
a(40,415) = 21,712
Square (n²)
471,410,944
Cube (n³)
10,235,274,416,128
Divisor count
20
σ(n) — sum of divisors
44,640
φ(n) — Euler's totient
10,208
Sum of prime factors
90

Primality

Prime factorization: 2 4 × 23 × 59

Nearest primes: 21,701 (−11) · 21,713 (+1)

Divisors & multiples

All divisors (20)
1 · 2 · 4 · 8 · 16 · 23 · 46 · 59 · 92 · 118 · 184 · 236 · 368 · 472 · 944 · 1357 · 2714 · 5428 · 10856 (half) · 21712
Aliquot sum (sum of proper divisors): 22,928
Factor pairs (a × b = 21,712)
1 × 21712
2 × 10856
4 × 5428
8 × 2714
16 × 1357
23 × 944
46 × 472
59 × 368
92 × 236
118 × 184
First multiples
21,712 · 43,424 (double) · 65,136 · 86,848 · 108,560 · 130,272 · 151,984 · 173,696 · 195,408 · 217,120

Sums & aliquot sequence

As consecutive integers: 933 + 934 + … + 955 663 + 664 + … + 694 339 + 340 + … + 397
Aliquot sequence: 21,712 22,928 21,526 11,594 9,142 6,554 3,706 2,234 1,120 1,904 2,560 3,578 1,792 2,296 2,744 3,256 3,584 — unresolved within range

Representations

In words
twenty-one thousand seven hundred twelve
Ordinal
21712th
Binary
101010011010000
Octal
52320
Hexadecimal
0x54D0
Base64
VNA=
One's complement
43,823 (16-bit)
In other bases
ternary (3) 1002210011
quaternary (4) 11103100
quinary (5) 1143322
senary (6) 244304
septenary (7) 120205
nonary (9) 32704
undecimal (11) 15349
duodecimal (12) 10694
tridecimal (13) 9b62
tetradecimal (14) 7cac
pentadecimal (15) 6677

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹𒁹 𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺
Greek (Milesian)
͵καψιβʹ
Mayan (base 20)
𝋢·𝋮·𝋥·𝋬
Chinese
二萬一千七百一十二
Chinese (financial)
貳萬壹仟柒佰壹拾貳
In other modern scripts
Eastern Arabic ٢١٧١٢ Devanagari २१७१२ Bengali ২১৭১২ Tamil ௨௧௭௧௨ Thai ๒๑๗๑๒ Tibetan ༢༡༧༡༢ Khmer ២១៧១២ Lao ໒໑໗໑໒ Burmese ၂၁၇၁၂

Digit at this position in famous constants

π — Pi (π)
Digit 21,712 = 2
e — Euler's number (e)
Digit 21,712 = 9
φ — Golden ratio (φ)
Digit 21,712 = 6
√2 — Pythagoras's (√2)
Digit 21,712 = 7
ln 2 — Natural log of 2
Digit 21,712 = 6
γ — Euler-Mascheroni (γ)
Digit 21,712 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 21712, here are decompositions:

  • 11 + 21701 = 21712
  • 29 + 21683 = 21712
  • 101 + 21611 = 21712
  • 113 + 21599 = 21712
  • 149 + 21563 = 21712
  • 191 + 21521 = 21712
  • 293 + 21419 = 21712
  • 311 + 21401 = 21712

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-54D0
U+54D0
Other letter (Lo)

UTF-8 encoding: E5 93 90 (3 bytes).

Hex color
#0054D0
RGB(0, 84, 208)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.84.208.

Address
0.0.84.208
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.84.208

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

Position in π

The digit sequence 21712 first appears in π at position 960 of the decimal expansion (the 960ordinal-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.