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21,664

21,664 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.).
Deficient Number Odious Number Pernicious Number Recamán's Sequence

Properties

Parity
Even
Digit count
5
Digit sum
19
Digit product
288
Digital root
1
Palindrome
No
Bit width
15 bits
Reversed
46,612
Recamán's sequence
a(40,511) = 21,664
Square (n²)
469,328,896
Cube (n³)
10,167,541,202,944
Divisor count
12
σ(n) — sum of divisors
42,714
φ(n) — Euler's totient
10,816
Sum of prime factors
687

Primality

Prime factorization: 2 5 × 677

Nearest primes: 21,661 (−3) · 21,673 (+9)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 8 · 16 · 32 · 677 · 1354 · 2708 · 5416 · 10832 (half) · 21664
Aliquot sum (sum of proper divisors): 21,050
Factor pairs (a × b = 21,664)
1 × 21664
2 × 10832
4 × 5416
8 × 2708
16 × 1354
32 × 677
First multiples
21,664 · 43,328 (double) · 64,992 · 86,656 · 108,320 · 129,984 · 151,648 · 173,312 · 194,976 · 216,640

Sums & aliquot sequence

As a sum of two squares: 100² + 108²
As consecutive integers: 307 + 308 + … + 370
Aliquot sequence: 21,664 21,050 18,196 13,654 6,830 5,482 2,744 3,256 3,584 4,600 6,560 9,316 8,072 7,078 3,542 3,370 2,714 — unresolved within range

Representations

In words
twenty-one thousand six hundred sixty-four
Ordinal
21664th
Binary
101010010100000
Octal
52240
Hexadecimal
0x54A0
Base64
VKA=
One's complement
43,871 (16-bit)
In other bases
ternary (3) 1002201101
quaternary (4) 11102200
quinary (5) 1143124
senary (6) 244144
septenary (7) 120106
nonary (9) 32641
undecimal (11) 15305
duodecimal (12) 10654
tridecimal (13) 9b26
tetradecimal (14) 7c76
pentadecimal (15) 6644

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹𒁹 𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵καχξδʹ
Mayan (base 20)
𝋢·𝋮·𝋣·𝋤
Chinese
二萬一千六百六十四
Chinese (financial)
貳萬壹仟陸佰陸拾肆
In other modern scripts
Eastern Arabic ٢١٦٦٤ Devanagari २१६६४ Bengali ২১৬৬৪ Tamil ௨௧௬௬௪ Thai ๒๑๖๖๔ Tibetan ༢༡༦༦༤ Khmer ២១៦៦៤ Lao ໒໑໖໖໔ Burmese ၂၁၆၆၄

Digit at this position in famous constants

π — Pi (π)
Digit 21,664 = 7
e — Euler's number (e)
Digit 21,664 = 0
φ — Golden ratio (φ)
Digit 21,664 = 3
√2 — Pythagoras's (√2)
Digit 21,664 = 9
ln 2 — Natural log of 2
Digit 21,664 = 5
γ — Euler-Mascheroni (γ)
Digit 21,664 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 21664, here are decompositions:

  • 3 + 21661 = 21664
  • 17 + 21647 = 21664
  • 47 + 21617 = 21664
  • 53 + 21611 = 21664
  • 101 + 21563 = 21664
  • 107 + 21557 = 21664
  • 173 + 21491 = 21664
  • 197 + 21467 = 21664

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-54A0
U+54A0
Other letter (Lo)

UTF-8 encoding: E5 92 A0 (3 bytes).

Hex color
#0054A0
RGB(0, 84, 160)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.84.160.

Address
0.0.84.160
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.84.160

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

Position in π

The digit sequence 21664 first appears in π at position 13,940 of the decimal expansion (the 13,940ordinal-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.