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10,964

10,964 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.).

10,964 (ten thousand nine hundred sixty-four) is an even 5-digit number. It is a composite number with 6 divisors, and factors as 2² × 2,741. Written other ways, in hexadecimal, 0x2AD4.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
5
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
14 bits
Reversed
46,901
Recamán's sequence
a(174,331) = 10,964
Square (n²)
120,209,296
Cube (n³)
1,317,974,721,344
Divisor count
6
σ(n) — sum of divisors
19,194
φ(n) — Euler's totient
5,480
Sum of prime factors
2,745

Primality

Prime factorization: 2 2 × 2741

Nearest primes: 10,957 (−7) · 10,973 (+9)

Divisors & multiples

All divisors (6)
1 · 2 · 4 · 2741 · 5482 (half) · 10964
Aliquot sum (sum of proper divisors): 8,230
Factor pairs (a × b = 10,964)
1 × 10964
2 × 5482
4 × 2741
First multiples
10,964 · 21,928 (double) · 32,892 · 43,856 · 54,820 · 65,784 · 76,748 · 87,712 · 98,676 · 109,640

Sums & aliquot sequence

As a sum of two squares: 50² + 92²
As consecutive integers: 1,367 + 1,368 + … + 1,374
Aliquot sequence: 10,964 8,230 6,602 3,304 3,896 3,424 3,380 4,306 2,156 2,632 3,128 3,352 2,948 2,764 2,080 3,212 3,004 — unresolved within range

Continued fraction of √n

√10,964 = [104; (1, 2, 2, 3, 1, 1, 10, 2, 5, 1, 1, 41, 2, 1, 12, 2, 2, 1, 1, 2, 29, 1, 1, 7, …)]

Representations

In words
ten thousand nine hundred sixty-four
Ordinal
10964th
Binary
10101011010100
Octal
25324
Hexadecimal
0x2AD4
Base64
KtQ=
One's complement
54,571 (16-bit)
Scientific notation
1.0964 × 10⁴
As a duration
10,964 s = 3 hours, 2 minutes, 44 seconds
In other bases
ternary (3) 120001002
quaternary (4) 2223110
quinary (5) 322324
senary (6) 122432
septenary (7) 43652
nonary (9) 16032
undecimal (11) 8268
duodecimal (12) 6418
tridecimal (13) 4cb5
tetradecimal (14) 3dd2
pentadecimal (15) 33ae

As an angle

10,964° = 30 × 360° + 164°
164° ≈ 2.862 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιϡξδʹ
Mayan (base 20)
𝋡·𝋧·𝋨·𝋤
Chinese
一萬零九百六十四
Chinese (financial)
壹萬零玖佰陸拾肆
In other modern scripts
Eastern Arabic ١٠٩٦٤ Devanagari १०९६४ Bengali ১০৯৬৪ Tamil ௧௦௯௬௪ Thai ๑๐๙๖๔ Tibetan ༡༠༩༦༤ Khmer ១០៩៦៤ Lao ໑໐໙໖໔ Burmese ၁၀၉၆၄

Digit at this position in famous constants

π — Pi (π)
Digit 10,964 = 9
e — Euler's number (e)
Digit 10,964 = 6
φ — Golden ratio (φ)
Digit 10,964 = 3
√2 — Pythagoras's (√2)
Digit 10,964 = 4
ln 2 — Natural log of 2
Digit 10,964 = 7
γ — Euler-Mascheroni (γ)
Digit 10,964 = 5

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 10964, here are decompositions:

  • 7 + 10957 = 10964
  • 61 + 10903 = 10964
  • 73 + 10891 = 10964
  • 97 + 10867 = 10964
  • 103 + 10861 = 10964
  • 127 + 10837 = 10964
  • 193 + 10771 = 10964
  • 211 + 10753 = 10964

Showing the first eight; more decompositions exist.

Unicode codepoint
Superset Above Subset
U+2AD4
Math symbol (Sm)

UTF-8 encoding: E2 AB 94 (3 bytes).

Hex color
#002AD4
RGB(0, 42, 212)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.42.212.

Address
0.0.42.212
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.42.212

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

Musical pitch

Heard as a frequency, 10,964 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): F9 (11175.3 Hz, -33¢)
  • Scientific pitch (C4 = 256 Hz): F9 (10935 Hz, +5¢)
  • Baroque pitch (A4 = 415 Hz): F♯9 (11167.1 Hz, -32¢)
Position in π

The digit sequence 10964 first appears in π at position 176,660 of the decimal expansion (the 176,660ordinal-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.

Related reading

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.