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10,564

10,564 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 Odious Number Pernicious Number Recamán's Sequence

Properties

Parity
Even
Digit count
5
Digit sum
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
14 bits
Reversed
46,501
Recamán's sequence
a(50,391) = 10,564
Square (n²)
111,598,096
Cube (n³)
1,178,922,286,144
Divisor count
12
σ(n) — sum of divisors
19,600
φ(n) — Euler's totient
4,968
Sum of prime factors
162

Primality

Prime factorization: 2 2 × 19 × 139

Nearest primes: 10,559 (−5) · 10,567 (+3)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 19 · 38 · 76 · 139 · 278 · 556 · 2641 · 5282 (half) · 10564
Aliquot sum (sum of proper divisors): 9,036
Factor pairs (a × b = 10,564)
1 × 10564
2 × 5282
4 × 2641
19 × 556
38 × 278
76 × 139
First multiples
10,564 · 21,128 (double) · 31,692 · 42,256 · 52,820 · 63,384 · 73,948 · 84,512 · 95,076 · 105,640

Sums & aliquot sequence

As consecutive integers: 1,317 + 1,318 + … + 1,324 547 + 548 + … + 565 7 + 8 + … + 145
Aliquot sequence: 10,564 9,036 13,896 23,934 23,946 27,798 29,658 29,670 46,362 46,374 48,666 48,678 70,362 86,118 92,058 95,622 95,634 — unresolved within range

Representations

In words
ten thousand five hundred sixty-four
Ordinal
10564th
Binary
10100101000100
Octal
24504
Hexadecimal
0x2944
Base64
KUQ=
One's complement
54,971 (16-bit)
In other bases
ternary (3) 112111021
quaternary (4) 2211010
quinary (5) 314224
senary (6) 120524
septenary (7) 42541
nonary (9) 15437
undecimal (11) 7a34
duodecimal (12) 6144
tridecimal (13) 4a68
tetradecimal (14) 3bc8
pentadecimal (15) 31e4

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιφξδʹ
Mayan (base 20)
𝋡·𝋦·𝋨·𝋤
Chinese
一萬零五百六十四
Chinese (financial)
壹萬零伍佰陸拾肆
In other modern scripts
Eastern Arabic ١٠٥٦٤ Devanagari १०५६४ Bengali ১০৫৬৪ Tamil ௧௦௫௬௪ Thai ๑๐๕๖๔ Tibetan ༡༠༥༦༤ Khmer ១០៥៦៤ Lao ໑໐໕໖໔ Burmese ၁၀၅၆၄

Digit at this position in famous constants

π — Pi (π)
Digit 10,564 = 8
e — Euler's number (e)
Digit 10,564 = 5
φ — Golden ratio (φ)
Digit 10,564 = 6
√2 — Pythagoras's (√2)
Digit 10,564 = 7
ln 2 — Natural log of 2
Digit 10,564 = 2
γ — Euler-Mascheroni (γ)
Digit 10,564 = 3

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 10564, here are decompositions:

  • 5 + 10559 = 10564
  • 101 + 10463 = 10564
  • 107 + 10457 = 10564
  • 131 + 10433 = 10564
  • 137 + 10427 = 10564
  • 173 + 10391 = 10564
  • 227 + 10337 = 10564
  • 233 + 10331 = 10564

Showing the first eight; more decompositions exist.

Unicode codepoint
Short Rightwards Arrow Above Leftwards Arrow
U+2944
Math symbol (Sm)

UTF-8 encoding: E2 A5 84 (3 bytes).

Hex color
#002944
RGB(0, 41, 68)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.41.68.

Address
0.0.41.68
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.41.68

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

Position in π

The digit sequence 10564 first appears in π at position 49,016 of the decimal expansion (the 49,016ordinal-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.