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21,168

21,168 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 Achilles Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Powerful Number Practical Number Recamán's Sequence Self Number Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
18
Digit product
96
Digital root
9
Palindrome
No
Bit width
15 bits
Reversed
86,112
Recamán's sequence
a(41,503) = 21,168
Square (n²)
448,084,224
Cube (n³)
9,485,046,853,632
Divisor count
60
σ(n) — sum of divisors
70,680
φ(n) — Euler's totient
6,048
Sum of prime factors
31

Primality

Prime factorization: 2 4 × 3 3 × 7 2

Nearest primes: 21,163 (−5) · 21,169 (+1)

Divisors & multiples

All divisors (60)
1 · 2 · 3 · 4 · 6 · 7 · 8 · 9 · 12 · 14 · 16 · 18 · 21 · 24 · 27 · 28 · 36 · 42 · 48 · 49 · 54 · 56 · 63 · 72 · 84 · 98 · 108 · 112 · 126 · 144 · 147 · 168 · 189 · 196 · 216 · 252 · 294 · 336 · 378 · 392 · 432 · 441 · 504 · 588 · 756 · 784 · 882 · 1008 · 1176 · 1323 · 1512 · 1764 · 2352 · 2646 · 3024 · 3528 · 5292 · 7056 · 10584 (half) · 21168
Aliquot sum (sum of proper divisors): 49,512
Factor pairs (a × b = 21,168)
1 × 21168
2 × 10584
3 × 7056
4 × 5292
6 × 3528
7 × 3024
8 × 2646
9 × 2352
12 × 1764
14 × 1512
16 × 1323
18 × 1176
21 × 1008
24 × 882
27 × 784
28 × 756
36 × 588
42 × 504
48 × 441
49 × 432
54 × 392
56 × 378
63 × 336
72 × 294
84 × 252
98 × 216
108 × 196
112 × 189
126 × 168
144 × 147
First multiples
21,168 · 42,336 (double) · 63,504 · 84,672 · 105,840 · 127,008 · 148,176 · 169,344 · 190,512 · 211,680

Sums & aliquot sequence

As consecutive integers: 7,055 + 7,056 + 7,057 3,021 + 3,022 + … + 3,027 2,348 + 2,349 + … + 2,356 998 + 999 + … + 1,018
Aliquot sequence: 21,168 49,512 74,328 122,472 271,128 535,272 802,968 1,204,512 1,957,584 3,399,216 5,766,864 9,217,296 20,422,951 1 0 — terminates at zero

Representations

In words
twenty-one thousand one hundred sixty-eight
Ordinal
21168th
Binary
101001010110000
Octal
51260
Hexadecimal
0x52B0
Base64
UrA=
One's complement
44,367 (16-bit)
In other bases
ternary (3) 1002001000
quaternary (4) 11022300
quinary (5) 1134133
senary (6) 242000
septenary (7) 115500
nonary (9) 32030
undecimal (11) 149a4
duodecimal (12) 10300
tridecimal (13) 9834
tetradecimal (14) 7a00
pentadecimal (15) 6413

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵καρξηʹ
Mayan (base 20)
𝋢·𝋬·𝋲·𝋨
Chinese
二萬一千一百六十八
Chinese (financial)
貳萬壹仟壹佰陸拾捌
In other modern scripts
Eastern Arabic ٢١١٦٨ Devanagari २११६८ Bengali ২১১৬৮ Tamil ௨௧௧௬௮ Thai ๒๑๑๖๘ Tibetan ༢༡༡༦༨ Khmer ២១១៦៨ Lao ໒໑໑໖໘ Burmese ၂၁၁၆၈

Digit at this position in famous constants

π — Pi (π)
Digit 21,168 = 7
e — Euler's number (e)
Digit 21,168 = 9
φ — Golden ratio (φ)
Digit 21,168 = 6
√2 — Pythagoras's (√2)
Digit 21,168 = 2
ln 2 — Natural log of 2
Digit 21,168 = 6
γ — Euler-Mascheroni (γ)
Digit 21,168 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 21168, here are decompositions:

  • 5 + 21163 = 21168
  • 11 + 21157 = 21168
  • 19 + 21149 = 21168
  • 29 + 21139 = 21168
  • 47 + 21121 = 21168
  • 61 + 21107 = 21168
  • 67 + 21101 = 21168
  • 79 + 21089 = 21168

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-52B0
U+52B0
Other letter (Lo)

UTF-8 encoding: E5 8A B0 (3 bytes).

Hex color
#0052B0
RGB(0, 82, 176)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.82.176.

Address
0.0.82.176
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.82.176

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

Position in π

The digit sequence 21168 first appears in π at position 116,140 of the decimal expansion (the 116,140ordinal-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.