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10,864

10,864 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 Gapful Number Practical Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
19
Digit product
0
Digital root
1
Palindrome
No
Bit width
14 bits
Reversed
46,801
Recamán's sequence
a(174,531) = 10,864
Square (n²)
118,026,496
Cube (n³)
1,282,239,852,544
Divisor count
20
σ(n) — sum of divisors
24,304
φ(n) — Euler's totient
4,608
Sum of prime factors
112

Primality

Prime factorization: 2 4 × 7 × 97

Nearest primes: 10,861 (−3) · 10,867 (+3)

Divisors & multiples

All divisors (20)
1 · 2 · 4 · 7 · 8 · 14 · 16 · 28 · 56 · 97 · 112 · 194 · 388 · 679 · 776 · 1358 · 1552 · 2716 · 5432 (half) · 10864
Aliquot sum (sum of proper divisors): 13,440
Factor pairs (a × b = 10,864)
1 × 10864
2 × 5432
4 × 2716
7 × 1552
8 × 1358
14 × 776
16 × 679
28 × 388
56 × 194
97 × 112
First multiples
10,864 · 21,728 (double) · 32,592 · 43,456 · 54,320 · 65,184 · 76,048 · 86,912 · 97,776 · 108,640

Sums & aliquot sequence

As consecutive integers: 1,549 + 1,550 + … + 1,555 324 + 325 + … + 355 64 + 65 + … + 160
Aliquot sequence: 10,864 13,440 35,520 80,304 157,776 273,744 492,762 550,950 815,778 997,182 1,163,418 1,188,582 1,188,594 1,947,726 2,817,738 5,269,302 6,337,098 — unresolved within range

Representations

In words
ten thousand eight hundred sixty-four
Ordinal
10864th
Binary
10101001110000
Octal
25160
Hexadecimal
0x2A70
Base64
KnA=
One's complement
54,671 (16-bit)
In other bases
ternary (3) 112220101
quaternary (4) 2221300
quinary (5) 321424
senary (6) 122144
septenary (7) 43450
nonary (9) 15811
undecimal (11) 8187
duodecimal (12) 6354
tridecimal (13) 4c39
tetradecimal (14) 3d60
pentadecimal (15) 3344

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιωξδʹ
Mayan (base 20)
𝋡·𝋧·𝋣·𝋤
Chinese
一萬零八百六十四
Chinese (financial)
壹萬零捌佰陸拾肆
In other modern scripts
Eastern Arabic ١٠٨٦٤ Devanagari १०८६४ Bengali ১০৮৬৪ Tamil ௧௦௮௬௪ Thai ๑๐๘๖๔ Tibetan ༡༠༨༦༤ Khmer ១០៨៦៤ Lao ໑໐໘໖໔ Burmese ၁၀၈၆၄

Digit at this position in famous constants

π — Pi (π)
Digit 10,864 = 7
e — Euler's number (e)
Digit 10,864 = 0
φ — Golden ratio (φ)
Digit 10,864 = 6
√2 — Pythagoras's (√2)
Digit 10,864 = 8
ln 2 — Natural log of 2
Digit 10,864 = 0
γ — Euler-Mascheroni (γ)
Digit 10,864 = 7

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 10864, here are decompositions:

  • 3 + 10861 = 10864
  • 5 + 10859 = 10864
  • 11 + 10853 = 10864
  • 17 + 10847 = 10864
  • 83 + 10781 = 10864
  • 131 + 10733 = 10864
  • 173 + 10691 = 10864
  • 197 + 10667 = 10864

Showing the first eight; more decompositions exist.

Unicode codepoint
Approximately Equal Or Equal To
U+2A70
Math symbol (Sm)

UTF-8 encoding: E2 A9 B0 (3 bytes).

Hex color
#002A70
RGB(0, 42, 112)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.42.112.

Address
0.0.42.112
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.42.112

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

Position in π

The digit sequence 10864 first appears in π at position 37,185 of the decimal expansion (the 37,185ordinal-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.