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Number

31,307

31,307 is a prime, odd.

31,307 (thirty-one thousand three hundred seven) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x7A4B.

Arithmetic Number Chen Prime Cube-Free Deficient Number Emirp Happy Number Odious Number Prime Recamán's Sequence Squarefree

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
15 bits
Reversed
70,313
Recamán's sequence
a(31,049) = 31,307
Square (n²)
980,128,249
Cube (n³)
30,684,875,091,443
Divisor count
2
σ(n) — sum of divisors
31,308
φ(n) — Euler's totient
31,306

Primality

31,307 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 31307
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 31,307)
1 × 31307
First multiples
31,307 · 62,614 (double) · 93,921 · 125,228 · 156,535 · 187,842 · 219,149 · 250,456 · 281,763 · 313,070

Sums & aliquot sequence

As consecutive integers: 15,653 + 15,654

Continued fraction of √n

√31,307 = [176; (1, 15, 11, 2, 1, 5, 31, 1, 175, 1, 31, 5, 1, 2, 11, 15, 1, 352)]

Period length 18 — the block in parentheses repeats forever.

Representations

In words
thirty-one thousand three hundred seven
Ordinal
31307th
Binary
111101001001011
Octal
75113
Hexadecimal
0x7A4B
Base64
eks=
One's complement
34,228 (16-bit)
Scientific notation
3.1307 × 10⁴
As a duration
31,307 s = 8 hours, 41 minutes, 47 seconds
In other bases
ternary (3) 1120221112
quaternary (4) 13221023
quinary (5) 2000212
senary (6) 400535
septenary (7) 160163
nonary (9) 46845
undecimal (11) 21581
duodecimal (12) 1614b
tridecimal (13) 11333
tetradecimal (14) b5a3
pentadecimal (15) 9422

As an angle

31,307° = 86 × 360° + 347°
347° ≈ 6.056 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵λατζʹ
Mayan (base 20)
𝋣·𝋲·𝋥·𝋧
Chinese
三萬一千三百零七
Chinese (financial)
參萬壹仟參佰零柒
In other modern scripts
Eastern Arabic ٣١٣٠٧ Devanagari ३१३०७ Bengali ৩১৩০৭ Tamil ௩௧௩௦௭ Thai ๓๑๓๐๗ Tibetan ༣༡༣༠༧ Khmer ៣១៣០៧ Lao ໓໑໓໐໗ Burmese ၃၁၃၀၇

Digit at this position in famous constants

π — Pi (π)
Digit 31,307 = 2
e — Euler's number (e)
Digit 31,307 = 2
φ — Golden ratio (φ)
Digit 31,307 = 3
√2 — Pythagoras's (√2)
Digit 31,307 = 8
ln 2 — Natural log of 2
Digit 31,307 = 3
γ — Euler-Mascheroni (γ)
Digit 31,307 = 0

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 31,277 (gap of 30)
  • Next prime: 31,319 (gap of 12)
Unicode codepoint
CJK Unified Ideograph-7A4B
U+7A4B
Other letter (Lo)

UTF-8 encoding: E7 A9 8B (3 bytes).

Hex color
#007A4B
RGB(0, 122, 75)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.122.75.

Address
0.0.122.75
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.122.75

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

Position in π

The digit sequence 31307 first appears in π at position 75,908 of the decimal expansion (the 75,908ordinal-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.