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21,004

21,004 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.).
Arithmetic Number Deficient Number Odious Number Pernicious Number Recamán's Sequence

Properties

Parity
Even
Digit count
5
Digit sum
7
Digit product
0
Digital root
7
Palindrome
No
Bit width
15 bits
Reversed
40,012
Recamán's sequence
a(41,831) = 21,004
Square (n²)
441,168,016
Cube (n³)
9,266,293,008,064
Divisor count
12
σ(n) — sum of divisors
37,800
φ(n) — Euler's totient
10,208
Sum of prime factors
152

Primality

Prime factorization: 2 2 × 59 × 89

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

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 59 · 89 · 118 · 178 · 236 · 356 · 5251 · 10502 (half) · 21004
Aliquot sum (sum of proper divisors): 16,796
Factor pairs (a × b = 21,004)
1 × 21004
2 × 10502
4 × 5251
59 × 356
89 × 236
118 × 178
First multiples
21,004 · 42,008 (double) · 63,012 · 84,016 · 105,020 · 126,024 · 147,028 · 168,032 · 189,036 · 210,040

Sums & aliquot sequence

As consecutive integers: 2,622 + 2,623 + … + 2,629 327 + 328 + … + 385 192 + 193 + … + 280
Aliquot sequence: 21,004 16,796 18,484 13,870 12,770 10,234 8,774 4,834 2,420 3,166 1,586 1,018 512 511 81 40 50 — unresolved within range

Representations

In words
twenty-one thousand four
Ordinal
21004th
Binary
101001000001100
Octal
51014
Hexadecimal
0x520C
Base64
Ugw=
One's complement
44,531 (16-bit)
In other bases
ternary (3) 1001210221
quaternary (4) 11020030
quinary (5) 1133004
senary (6) 241124
septenary (7) 115144
nonary (9) 31727
undecimal (11) 14865
duodecimal (12) 101a4
tridecimal (13) 9739
tetradecimal (14) 7924
pentadecimal (15) 6354

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓆼𓏺𓏺𓏺𓏺
Greek (Milesian)
͵καδʹ
Mayan (base 20)
𝋢·𝋬·𝋪·𝋤
Chinese
二萬一千零四
Chinese (financial)
貳萬壹仟零肆
In other modern scripts
Eastern Arabic ٢١٠٠٤ Devanagari २१००४ Bengali ২১০০৪ Tamil ௨௧௦௦௪ Thai ๒๑๐๐๔ Tibetan ༢༡༠༠༤ Khmer ២១០០៤ Lao ໒໑໐໐໔ Burmese ၂၁၀၀၄

Digit at this position in famous constants

π — Pi (π)
Digit 21,004 = 0
e — Euler's number (e)
Digit 21,004 = 4
φ — Golden ratio (φ)
Digit 21,004 = 9
√2 — Pythagoras's (√2)
Digit 21,004 = 2
ln 2 — Natural log of 2
Digit 21,004 = 4
γ — Euler-Mascheroni (γ)
Digit 21,004 = 2

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 21004, here are decompositions:

  • 3 + 21001 = 21004
  • 23 + 20981 = 21004
  • 41 + 20963 = 21004
  • 83 + 20921 = 21004
  • 101 + 20903 = 21004
  • 107 + 20897 = 21004
  • 131 + 20873 = 21004
  • 197 + 20807 = 21004

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-520C
U+520C
Other letter (Lo)

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

Hex color
#00520C
RGB(0, 82, 12)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.82.12.

Address
0.0.82.12
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.82.12

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

Position in π

The digit sequence 21004 first appears in π at position 157,659 of the decimal expansion (the 157,659ordinal-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.