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21,006

21,006 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 Arithmetic Number Evil Number Harshad / Niven Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
9
Digit product
0
Digital root
9
Palindrome
No
Bit width
15 bits
Reversed
60,012
Recamán's sequence
a(41,827) = 21,006
Square (n²)
441,252,036
Cube (n³)
9,268,940,268,216
Divisor count
16
σ(n) — sum of divisors
46,800
φ(n) — Euler's totient
6,984
Sum of prime factors
400

Primality

Prime factorization: 2 × 3 3 × 389

Nearest primes: 21,001 (−5) · 21,011 (+5)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 6 · 9 · 18 · 27 · 54 · 389 · 778 · 1167 · 2334 · 3501 · 7002 · 10503 (half) · 21006
Aliquot sum (sum of proper divisors): 25,794
Factor pairs (a × b = 21,006)
1 × 21006
2 × 10503
3 × 7002
6 × 3501
9 × 2334
18 × 1167
27 × 778
54 × 389
First multiples
21,006 · 42,012 (double) · 63,018 · 84,024 · 105,030 · 126,036 · 147,042 · 168,048 · 189,054 · 210,060

Sums & aliquot sequence

As consecutive integers: 7,001 + 7,002 + 7,003 5,250 + 5,251 + 5,252 + 5,253 2,330 + 2,331 + … + 2,338 1,745 + 1,746 + … + 1,756
Aliquot sequence: 21,006 25,794 30,132 51,404 40,324 34,520 43,240 60,440 75,640 102,920 139,000 188,600 280,120 367,880 510,160 846,896 835,288 — unresolved within range

Representations

In words
twenty-one thousand six
Ordinal
21006th
Binary
101001000001110
Octal
51016
Hexadecimal
0x520E
Base64
Ug4=
One's complement
44,529 (16-bit)
In other bases
ternary (3) 1001211000
quaternary (4) 11020032
quinary (5) 1133011
senary (6) 241130
septenary (7) 115146
nonary (9) 31730
undecimal (11) 14867
duodecimal (12) 101a6
tridecimal (13) 973b
tetradecimal (14) 7926
pentadecimal (15) 6356

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓆼𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵καϛʹ
Mayan (base 20)
𝋢·𝋬·𝋪·𝋦
Chinese
二萬一千零六
Chinese (financial)
貳萬壹仟零陸
In other modern scripts
Eastern Arabic ٢١٠٠٦ Devanagari २१००६ Bengali ২১০০৬ Tamil ௨௧௦௦௬ Thai ๒๑๐๐๖ Tibetan ༢༡༠༠༦ Khmer ២១០០៦ Lao ໒໑໐໐໖ Burmese ၂၁၀၀၆

Digit at this position in famous constants

π — Pi (π)
Digit 21,006 = 0
e — Euler's number (e)
Digit 21,006 = 9
φ — Golden ratio (φ)
Digit 21,006 = 1
√2 — Pythagoras's (√2)
Digit 21,006 = 3
ln 2 — Natural log of 2
Digit 21,006 = 9
γ — Euler-Mascheroni (γ)
Digit 21,006 = 4

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 21006, here are decompositions:

  • 5 + 21001 = 21006
  • 23 + 20983 = 21006
  • 43 + 20963 = 21006
  • 47 + 20959 = 21006
  • 59 + 20947 = 21006
  • 67 + 20939 = 21006
  • 103 + 20903 = 21006
  • 107 + 20899 = 21006

Showing the first eight; more decompositions exist.

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

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

Hex color
#00520E
RGB(0, 82, 14)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.82.14.

Address
0.0.82.14
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.82.14

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

Position in π

The digit sequence 21006 first appears in π at position 3,479 of the decimal expansion (the 3,479ordinal-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.