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21,696

21,696 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 Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
24
Digit product
648
Digital root
6
Palindrome
No
Bit width
15 bits
Reversed
69,612
Recamán's sequence
a(40,447) = 21,696
Square (n²)
470,716,416
Cube (n³)
10,212,663,361,536
Divisor count
28
σ(n) — sum of divisors
57,912
φ(n) — Euler's totient
7,168
Sum of prime factors
128

Primality

Prime factorization: 2 6 × 3 × 113

Nearest primes: 21,683 (−13) · 21,701 (+5)

Divisors & multiples

All divisors (28)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 24 · 32 · 48 · 64 · 96 · 113 · 192 · 226 · 339 · 452 · 678 · 904 · 1356 · 1808 · 2712 · 3616 · 5424 · 7232 · 10848 (half) · 21696
Aliquot sum (sum of proper divisors): 36,216
Factor pairs (a × b = 21,696)
1 × 21696
2 × 10848
3 × 7232
4 × 5424
6 × 3616
8 × 2712
12 × 1808
16 × 1356
24 × 904
32 × 678
48 × 452
64 × 339
96 × 226
113 × 192
First multiples
21,696 · 43,392 (double) · 65,088 · 86,784 · 108,480 · 130,176 · 151,872 · 173,568 · 195,264 · 216,960

Sums & aliquot sequence

As consecutive integers: 7,231 + 7,232 + 7,233 136 + 137 + … + 248 106 + 107 + … + 233
Aliquot sequence: 21,696 36,216 62,064 112,032 207,378 254,538 307,062 453,594 507,174 516,234 528,054 633,162 633,174 633,186 787,194 939,258 1,095,840 — unresolved within range

Representations

In words
twenty-one thousand six hundred ninety-six
Ordinal
21696th
Binary
101010011000000
Octal
52300
Hexadecimal
0x54C0
Base64
VMA=
One's complement
43,839 (16-bit)
In other bases
ternary (3) 1002202120
quaternary (4) 11103000
quinary (5) 1143241
senary (6) 244240
septenary (7) 120153
nonary (9) 32676
undecimal (11) 15334
duodecimal (12) 10680
tridecimal (13) 9b4c
tetradecimal (14) 7c9a
pentadecimal (15) 6666

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹𒁹 𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵καχϟϛʹ
Mayan (base 20)
𝋢·𝋮·𝋤·𝋰
Chinese
二萬一千六百九十六
Chinese (financial)
貳萬壹仟陸佰玖拾陸
In other modern scripts
Eastern Arabic ٢١٦٩٦ Devanagari २१६९६ Bengali ২১৬৯৬ Tamil ௨௧௬௯௬ Thai ๒๑๖๙๖ Tibetan ༢༡༦༩༦ Khmer ២១៦៩៦ Lao ໒໑໖໙໖ Burmese ၂၁၆၉၆

Digit at this position in famous constants

π — Pi (π)
Digit 21,696 = 8
e — Euler's number (e)
Digit 21,696 = 7
φ — Golden ratio (φ)
Digit 21,696 = 0
√2 — Pythagoras's (√2)
Digit 21,696 = 8
ln 2 — Natural log of 2
Digit 21,696 = 8
γ — Euler-Mascheroni (γ)
Digit 21,696 = 4

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 21696, here are decompositions:

  • 13 + 21683 = 21696
  • 23 + 21673 = 21696
  • 47 + 21649 = 21696
  • 79 + 21617 = 21696
  • 83 + 21613 = 21696
  • 97 + 21599 = 21696
  • 107 + 21589 = 21696
  • 109 + 21587 = 21696

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-54C0
U+54C0
Other letter (Lo)

UTF-8 encoding: E5 93 80 (3 bytes).

Hex color
#0054C0
RGB(0, 84, 192)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.84.192.

Address
0.0.84.192
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.84.192

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

Position in π

The digit sequence 21696 first appears in π at position 2,141 of the decimal expansion (the 2,141ordinal-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.