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Number

31,321

31,321 is a prime, odd.

Arithmetic Number Deficient Number Odious Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree Twin Prime

Properties

Parity
Odd
Digit count
5
Digit sum
10
Digit product
18
Digital root
1
Palindrome
No
Bit width
15 bits
Reversed
12,313
Recamán's sequence
a(31,021) = 31,321
Square (n²)
981,005,041
Cube (n³)
30,726,058,889,161
Divisor count
2
σ(n) — sum of divisors
31,322
φ(n) — Euler's totient
31,320

Primality

31,321 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 31321
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 31,321)
1 × 31321
First multiples
31,321 · 62,642 (double) · 93,963 · 125,284 · 156,605 · 187,926 · 219,247 · 250,568 · 281,889 · 313,210

Sums & aliquot sequence

As a sum of two squares: 64² + 165²
As consecutive integers: 15,660 + 15,661

Representations

In words
thirty-one thousand three hundred twenty-one
Ordinal
31321st
Binary
111101001011001
Octal
75131
Hexadecimal
0x7A59
Base64
elk=
One's complement
34,214 (16-bit)
In other bases
ternary (3) 1120222001
quaternary (4) 13221121
quinary (5) 2000241
senary (6) 401001
septenary (7) 160213
nonary (9) 46861
undecimal (11) 21594
duodecimal (12) 16161
tridecimal (13) 11344
tetradecimal (14) b5b3
pentadecimal (15) 9431

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓎆𓎆𓏺
Greek (Milesian)
͵λατκαʹ
Mayan (base 20)
𝋣·𝋲·𝋦·𝋡
Chinese
三萬一千三百二十一
Chinese (financial)
參萬壹仟參佰貳拾壹
In other modern scripts
Eastern Arabic ٣١٣٢١ Devanagari ३१३२१ Bengali ৩১৩২১ Tamil ௩௧௩௨௧ Thai ๓๑๓๒๑ Tibetan ༣༡༣༢༡ Khmer ៣១៣២១ Lao ໓໑໓໒໑ Burmese ၃၁၃၂၁

Digit at this position in famous constants

π — Pi (π)
Digit 31,321 = 9
e — Euler's number (e)
Digit 31,321 = 4
φ — Golden ratio (φ)
Digit 31,321 = 0
√2 — Pythagoras's (√2)
Digit 31,321 = 7
ln 2 — Natural log of 2
Digit 31,321 = 5
γ — Euler-Mascheroni (γ)
Digit 31,321 = 4

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 31,319 (gap of 2)
  • Next prime: 31,327 (gap of 6)

Pair status: twin with 31319, sexy with 31327.

Unicode codepoint
CJK Unified Ideograph-7A59
U+7A59
Other letter (Lo)

UTF-8 encoding: E7 A9 99 (3 bytes).

Hex color
#007A59
RGB(0, 122, 89)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.122.89.

Address
0.0.122.89
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.122.89

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

Position in π

The digit sequence 31321 first appears in π at position 131,716 of the decimal expansion (the 131,716ordinal-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.