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Number

10,331

10,331 is a prime, odd.

10,331 (ten thousand three hundred thirty-one) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x285B.

Arithmetic Number Chen Prime Cube-Free Deficient Number Odious Number Pernicious Number Prime Recamán's Sequence Sexy Prime Sophie Germain Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
8
Digit product
0
Digital root
8
Palindrome
No
Bit width
14 bits
Reversed
13,301
Recamán's sequence
a(23,950) = 10,331
Square (n²)
106,729,561
Cube (n³)
1,102,623,094,691
Divisor count
2
σ(n) — sum of divisors
10,332
φ(n) — Euler's totient
10,330

Primality

10,331 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 10331
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 10,331)
1 × 10331
First multiples
10,331 · 20,662 (double) · 30,993 · 41,324 · 51,655 · 61,986 · 72,317 · 82,648 · 92,979 · 103,310

Sums & aliquot sequence

As consecutive integers: 5,165 + 5,166

Continued fraction of √n

√10,331 = [101; (1, 1, 1, 3, 1, 3, 20, 15, 1, 1, 2, 2, 1, 7, 2, 2, 1, 6, 3, 2, 1, 4, 3, 1, …)]

Representations

In words
ten thousand three hundred thirty-one
Ordinal
10331st
Binary
10100001011011
Octal
24133
Hexadecimal
0x285B
Base64
KFs=
One's complement
55,204 (16-bit)
Scientific notation
1.0331 × 10⁴
As a duration
10,331 s = 2 hours, 52 minutes, 11 seconds
In other bases
ternary (3) 112011122
quaternary (4) 2201123
quinary (5) 312311
senary (6) 115455
septenary (7) 42056
nonary (9) 15148
undecimal (11) 7842
duodecimal (12) 5b8b
tridecimal (13) 4919
tetradecimal (14) 3a9d
pentadecimal (15) 30db

As an angle

10,331° = 28 × 360° + 251°
251° ≈ 4.381 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒁹
Egyptian hieroglyphic
𓂍𓍢𓍢𓍢𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ιτλαʹ
Mayan (base 20)
𝋡·𝋥·𝋰·𝋫
Chinese
一萬零三百三十一
Chinese (financial)
壹萬零參佰參拾壹
In other modern scripts
Eastern Arabic ١٠٣٣١ Devanagari १०३३१ Bengali ১০৩৩১ Tamil ௧௦௩௩௧ Thai ๑๐๓๓๑ Tibetan ༡༠༣༣༡ Khmer ១០៣៣១ Lao ໑໐໓໓໑ Burmese ၁၀၃၃၁

Digit at this position in famous constants

π — Pi (π)
Digit 10,331 = 2
e — Euler's number (e)
Digit 10,331 = 0
φ — Golden ratio (φ)
Digit 10,331 = 3
√2 — Pythagoras's (√2)
Digit 10,331 = 6
ln 2 — Natural log of 2
Digit 10,331 = 4
γ — Euler-Mascheroni (γ)
Digit 10,331 = 8

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 10,321 (gap of 10)
  • Next prime: 10,333 (gap of 2)

Pair status: twin with 10333.

Unicode codepoint
Braille Pattern Dots-12457
U+285B
Other symbol (So)

UTF-8 encoding: E2 A1 9B (3 bytes).

Hex color
#00285B
RGB(0, 40, 91)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.40.91.

Address
0.0.40.91
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.40.91

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

Musical pitch

Heard as a frequency, 10,331 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): E9 (10548.1 Hz, -36¢)
  • Scientific pitch (C4 = 256 Hz): E9 (10321.3 Hz, +2¢)
  • Baroque pitch (A4 = 415 Hz): F9 (10540.3 Hz, -35¢)
Position in π

The digit sequence 10331 first appears in π at position 13,850 of the decimal expansion (the 13,850ordinal-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

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.