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10,016

10,016 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 Flippable Gapful Number Harshad / Niven Odious Number Pernicious Number Recamán's Sequence

Properties

Parity
Even
Digit count
5
Digit sum
8
Digit product
0
Digital root
8
Palindrome
No
Bit width
14 bits
Reversed
61,001
Flips to (rotate 180°)
91,001
Recamán's sequence
a(6,103) = 10,016
Square (n²)
100,320,256
Cube (n³)
1,004,807,684,096
Divisor count
12
σ(n) — sum of divisors
19,782
φ(n) — Euler's totient
4,992
Sum of prime factors
323

Primality

Prime factorization: 2 5 × 313

Nearest primes: 10,009 (−7) · 10,037 (+21)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 8 · 16 · 32 · 313 · 626 · 1252 · 2504 · 5008 (half) · 10016
Aliquot sum (sum of proper divisors): 9,766
Factor pairs (a × b = 10,016)
1 × 10016
2 × 5008
4 × 2504
8 × 1252
16 × 626
32 × 313
First multiples
10,016 · 20,032 (double) · 30,048 · 40,064 · 50,080 · 60,096 · 70,112 · 80,128 · 90,144 · 100,160

Sums & aliquot sequence

As a sum of two squares: 4² + 100²
As consecutive integers: 125 + 126 + … + 188
Aliquot sequence: 10,016 9,766 5,714 2,860 4,196 3,154 1,886 1,138 572 604 460 548 418 302 154 134 70 — unresolved within range

Representations

In words
ten thousand sixteen
Ordinal
10016th
Binary
10011100100000
Octal
23440
Hexadecimal
0x2720
Base64
JyA=
One's complement
55,519 (16-bit)
In other bases
ternary (3) 111201222
quaternary (4) 2130200
quinary (5) 310031
senary (6) 114212
septenary (7) 41126
nonary (9) 14658
undecimal (11) 7586
duodecimal (12) 5968
tridecimal (13) 4736
tetradecimal (14) 3916
pentadecimal (15) 2e7b

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιιϛʹ
Mayan (base 20)
𝋡·𝋥·𝋠·𝋰
Chinese
一萬零一十六
Chinese (financial)
壹萬零壹拾陸
In other modern scripts
Eastern Arabic ١٠٠١٦ Devanagari १००१६ Bengali ১০০১৬ Tamil ௧௦௦௧௬ Thai ๑๐๐๑๖ Tibetan ༡༠༠༡༦ Khmer ១០០១៦ Lao ໑໐໐໑໖ Burmese ၁၀၀၁၆

Digit at this position in famous constants

π — Pi (π)
Digit 10,016 = 5
e — Euler's number (e)
Digit 10,016 = 0
φ — Golden ratio (φ)
Digit 10,016 = 6
√2 — Pythagoras's (√2)
Digit 10,016 = 7
ln 2 — Natural log of 2
Digit 10,016 = 1
γ — Euler-Mascheroni (γ)
Digit 10,016 = 3

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 10016, here are decompositions:

  • 7 + 10009 = 10016
  • 43 + 9973 = 10016
  • 67 + 9949 = 10016
  • 109 + 9907 = 10016
  • 157 + 9859 = 10016
  • 199 + 9817 = 10016
  • 229 + 9787 = 10016
  • 277 + 9739 = 10016

Showing the first eight; more decompositions exist.

Unicode codepoint
Maltese Cross
U+2720
Other symbol (So)

UTF-8 encoding: E2 9C A0 (3 bytes).

Hex color
#002720
RGB(0, 39, 32)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.39.32.

Address
0.0.39.32
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.39.32

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

Possible US bank routing number

This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.

Routing number
000010016
Federal Reserve
United States Government

Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.

Position in π

The digit sequence 10016 first appears in π at position 15,761 of the decimal expansion (the 15,761ordinal-suffix:st 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.