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21,008

21,008 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 Evil Number Practical Number Recamán's Sequence Self Number Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
15 bits
Reversed
80,012
Recamán's sequence
a(41,823) = 21,008
Square (n²)
441,336,064
Cube (n³)
9,271,588,032,512
Divisor count
20
σ(n) — sum of divisors
44,268
φ(n) — Euler's totient
9,600
Sum of prime factors
122

Primality

Prime factorization: 2 4 × 13 × 101

Nearest primes: 21,001 (−7) · 21,011 (+3)

Divisors & multiples

All divisors (20)
1 · 2 · 4 · 8 · 13 · 16 · 26 · 52 · 101 · 104 · 202 · 208 · 404 · 808 · 1313 · 1616 · 2626 · 5252 · 10504 (half) · 21008
Aliquot sum (sum of proper divisors): 23,260
Factor pairs (a × b = 21,008)
1 × 21008
2 × 10504
4 × 5252
8 × 2626
13 × 1616
16 × 1313
26 × 808
52 × 404
101 × 208
104 × 202
First multiples
21,008 · 42,016 (double) · 63,024 · 84,032 · 105,040 · 126,048 · 147,056 · 168,064 · 189,072 · 210,080

Sums & aliquot sequence

As a sum of two squares: 68² + 128² = 92² + 112²
As consecutive integers: 1,610 + 1,611 + … + 1,622 641 + 642 + … + 672 158 + 159 + … + 258
Aliquot sequence: 21,008 23,260 25,628 20,572 16,668 25,556 19,174 9,590 10,282 5,594 2,800 4,888 5,192 5,608 4,922 2,854 1,430 — unresolved within range

Representations

In words
twenty-one thousand eight
Ordinal
21008th
Binary
101001000010000
Octal
51020
Hexadecimal
0x5210
Base64
UhA=
One's complement
44,527 (16-bit)
In other bases
ternary (3) 1001211002
quaternary (4) 11020100
quinary (5) 1133013
senary (6) 241132
septenary (7) 115151
nonary (9) 31732
undecimal (11) 14869
duodecimal (12) 101a8
tridecimal (13) 9740
tetradecimal (14) 7928
pentadecimal (15) 6358

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓆼𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵καηʹ
Mayan (base 20)
𝋢·𝋬·𝋪·𝋨
Chinese
二萬一千零八
Chinese (financial)
貳萬壹仟零捌
In other modern scripts
Eastern Arabic ٢١٠٠٨ Devanagari २१००८ Bengali ২১০০৮ Tamil ௨௧௦௦௮ Thai ๒๑๐๐๘ Tibetan ༢༡༠༠༨ Khmer ២១០០៨ Lao ໒໑໐໐໘ Burmese ၂၁၀၀၈

Digit at this position in famous constants

π — Pi (π)
Digit 21,008 = 5
e — Euler's number (e)
Digit 21,008 = 1
φ — Golden ratio (φ)
Digit 21,008 = 5
√2 — Pythagoras's (√2)
Digit 21,008 = 1
ln 2 — Natural log of 2
Digit 21,008 = 9
γ — Euler-Mascheroni (γ)
Digit 21,008 = 8

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 21008, here are decompositions:

  • 7 + 21001 = 21008
  • 61 + 20947 = 21008
  • 79 + 20929 = 21008
  • 109 + 20899 = 21008
  • 151 + 20857 = 21008
  • 199 + 20809 = 21008
  • 277 + 20731 = 21008
  • 367 + 20641 = 21008

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-5210
U+5210
Other letter (Lo)

UTF-8 encoding: E5 88 90 (3 bytes).

Hex color
#005210
RGB(0, 82, 16)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.82.16.

Address
0.0.82.16
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.82.16

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

Position in π

The digit sequence 21008 first appears in π at position 8,279 of the decimal expansion (the 8,279ordinal-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.