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10,768

10,768 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 Evil Number Recamán's Sequence

Properties

Parity
Even
Digit count
5
Digit sum
22
Digit product
0
Digital root
4
Palindrome
No
Bit width
14 bits
Reversed
86,701
Recamán's sequence
a(49,983) = 10,768
Square (n²)
115,949,824
Cube (n³)
1,248,547,704,832
Divisor count
10
σ(n) — sum of divisors
20,894
φ(n) — Euler's totient
5,376
Sum of prime factors
681

Primality

Prime factorization: 2 4 × 673

Nearest primes: 10,753 (−15) · 10,771 (+3)

Divisors & multiples

All divisors (10)
1 · 2 · 4 · 8 · 16 · 673 · 1346 · 2692 · 5384 (half) · 10768
Aliquot sum (sum of proper divisors): 10,126
Factor pairs (a × b = 10,768)
1 × 10768
2 × 5384
4 × 2692
8 × 1346
16 × 673
First multiples
10,768 · 21,536 (double) · 32,304 · 43,072 · 53,840 · 64,608 · 75,376 · 86,144 · 96,912 · 107,680

Sums & aliquot sequence

As a sum of two squares: 48² + 92²
As consecutive integers: 321 + 322 + … + 352
Aliquot sequence: 10,768 10,126 5,498 2,752 2,836 2,134 1,394 874 566 286 218 112 136 134 70 74 40 — unresolved within range

Representations

In words
ten thousand seven hundred sixty-eight
Ordinal
10768th
Binary
10101000010000
Octal
25020
Hexadecimal
0x2A10
Base64
KhA=
One's complement
54,767 (16-bit)
In other bases
ternary (3) 112202211
quaternary (4) 2220100
quinary (5) 321033
senary (6) 121504
septenary (7) 43252
nonary (9) 15684
undecimal (11) 80aa
duodecimal (12) 6294
tridecimal (13) 4b94
tetradecimal (14) 3cd2
pentadecimal (15) 32cd

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιψξηʹ
Mayan (base 20)
𝋡·𝋦·𝋲·𝋨
Chinese
一萬零七百六十八
Chinese (financial)
壹萬零柒佰陸拾捌
In other modern scripts
Eastern Arabic ١٠٧٦٨ Devanagari १०७६८ Bengali ১০৭৬৮ Tamil ௧௦௭௬௮ Thai ๑๐๗๖๘ Tibetan ༡༠༧༦༨ Khmer ១០៧៦៨ Lao ໑໐໗໖໘ Burmese ၁၀၇၆၈

Digit at this position in famous constants

π — Pi (π)
Digit 10,768 = 9
e — Euler's number (e)
Digit 10,768 = 5
φ — Golden ratio (φ)
Digit 10,768 = 2
√2 — Pythagoras's (√2)
Digit 10,768 = 3
ln 2 — Natural log of 2
Digit 10,768 = 5
γ — Euler-Mascheroni (γ)
Digit 10,768 = 4

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 10768, here are decompositions:

  • 29 + 10739 = 10768
  • 59 + 10709 = 10768
  • 101 + 10667 = 10768
  • 137 + 10631 = 10768
  • 167 + 10601 = 10768
  • 179 + 10589 = 10768
  • 239 + 10529 = 10768
  • 269 + 10499 = 10768

Showing the first eight; more decompositions exist.

Unicode codepoint
Circulation Function
U+2A10
Math symbol (Sm)

UTF-8 encoding: E2 A8 90 (3 bytes).

Hex color
#002A10
RGB(0, 42, 16)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.42.16.

Address
0.0.42.16
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.42.16

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

Position in π

The digit sequence 10768 first appears in π at position 22,971 of the decimal expansion (the 22,971ordinal-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.