number.wiki
Number

10,313

10,313 is a prime, odd.

Arithmetic Number Chen Prime Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Self Number Sophie Germain Prime Squarefree

Properties

Parity
Odd
Digit count
5
Digit sum
8
Digit product
0
Digital root
8
Palindrome
No
Bit width
14 bits
Reversed
31,301
Recamán's sequence
a(5,885) = 10,313
Square (n²)
106,357,969
Cube (n³)
1,096,869,734,297
Divisor count
2
σ(n) — sum of divisors
10,314
φ(n) — Euler's totient
10,312

Primality

10,313 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 10313
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 10,313)
1 × 10313
First multiples
10,313 · 20,626 (double) · 30,939 · 41,252 · 51,565 · 61,878 · 72,191 · 82,504 · 92,817 · 103,130

Sums & aliquot sequence

As a sum of two squares: 43² + 92²
As consecutive integers: 5,156 + 5,157

Representations

In words
ten thousand three hundred thirteen
Ordinal
10313th
Binary
10100001001001
Octal
24111
Hexadecimal
0x2849
Base64
KEk=
One's complement
55,222 (16-bit)
In other bases
ternary (3) 112010222
quaternary (4) 2201021
quinary (5) 312223
senary (6) 115425
septenary (7) 42032
nonary (9) 15128
undecimal (11) 7826
duodecimal (12) 5b75
tridecimal (13) 4904
tetradecimal (14) 3a89
pentadecimal (15) 30c8

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓍢𓍢𓍢𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ιτιγʹ
Mayan (base 20)
𝋡·𝋥·𝋯·𝋭
Chinese
一萬零三百一十三
Chinese (financial)
壹萬零參佰壹拾參
In other modern scripts
Eastern Arabic ١٠٣١٣ Devanagari १०३१३ Bengali ১০৩১৩ Tamil ௧௦௩௧௩ Thai ๑๐๓๑๓ Tibetan ༡༠༣༡༣ Khmer ១០៣១៣ Lao ໑໐໓໑໓ Burmese ၁၀၃၁၃

Digit at this position in famous constants

π — Pi (π)
Digit 10,313 = 7
e — Euler's number (e)
Digit 10,313 = 0
φ — Golden ratio (φ)
Digit 10,313 = 9
√2 — Pythagoras's (√2)
Digit 10,313 = 4
ln 2 — Natural log of 2
Digit 10,313 = 3
γ — Euler-Mascheroni (γ)
Digit 10,313 = 3

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 10,303 (gap of 10)
  • Next prime: 10,321 (gap of 8)
Unicode codepoint
Braille Pattern Dots-147
U+2849
Other symbol (So)

UTF-8 encoding: E2 A1 89 (3 bytes).

Hex color
#002849
RGB(0, 40, 73)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.40.73.

Address
0.0.40.73
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.40.73

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

Position in π

The digit sequence 10313 first appears in π at position 136,688 of the decimal expansion (the 136,688ordinal-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.