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Number

31,991

31,991 is a prime, odd.

31,991 (thirty-one thousand nine hundred ninety-one) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x7CF7.

Arithmetic Number Cube-Free Deficient Number Emirp Evil Number Prime Recamán's Sequence Squarefree

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
23
Digit product
243
Digital root
5
Palindrome
No
Bit width
15 bits
Reversed
19,913
Recamán's sequence
a(13,353) = 31,991
Square (n²)
1,023,424,081
Cube (n³)
32,740,359,775,271
Divisor count
2
σ(n) — sum of divisors
31,992
φ(n) — Euler's totient
31,990

Primality

31,991 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 31991
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 31,991)
1 × 31991
First multiples
31,991 · 63,982 (double) · 95,973 · 127,964 · 159,955 · 191,946 · 223,937 · 255,928 · 287,919 · 319,910

Sums & aliquot sequence

As consecutive integers: 15,995 + 15,996

Continued fraction of √n

√31,991 = [178; (1, 6, 6, 2, 1, 3, 2, 1, 50, 2, 2, 4, 4, 12, 10, 7, 4, 1, 31, 1, 2, 1, 1, 70, …)]

Representations

In words
thirty-one thousand nine hundred ninety-one
Ordinal
31991st
Binary
111110011110111
Octal
76367
Hexadecimal
0x7CF7
Base64
fPc=
One's complement
33,544 (16-bit)
Scientific notation
3.1991 × 10⁴
As a duration
31,991 s = 8 hours, 53 minutes, 11 seconds
In other bases
ternary (3) 1121212212
quaternary (4) 13303313
quinary (5) 2010431
senary (6) 404035
septenary (7) 162161
nonary (9) 47785
undecimal (11) 22043
duodecimal (12) 1661b
tridecimal (13) 1173b
tetradecimal (14) b931
pentadecimal (15) 972b
Palindromic in base 8

As an angle

31,991° = 88 × 360° + 311°
311° ≈ 5.428 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵λαϡϟαʹ
Mayan (base 20)
𝋣·𝋳·𝋳·𝋫
Chinese
三萬一千九百九十一
Chinese (financial)
參萬壹仟玖佰玖拾壹
In other modern scripts
Eastern Arabic ٣١٩٩١ Devanagari ३१९९१ Bengali ৩১৯৯১ Tamil ௩௧௯௯௧ Thai ๓๑๙๙๑ Tibetan ༣༡༩༩༡ Khmer ៣១៩៩១ Lao ໓໑໙໙໑ Burmese ၃၁၉၉၁

Digit at this position in famous constants

π — Pi (π)
Digit 31,991 = 2
e — Euler's number (e)
Digit 31,991 = 1
φ — Golden ratio (φ)
Digit 31,991 = 0
√2 — Pythagoras's (√2)
Digit 31,991 = 0
ln 2 — Natural log of 2
Digit 31,991 = 1
γ — Euler-Mascheroni (γ)
Digit 31,991 = 4

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 31,981 (gap of 10)
  • Next prime: 32,003 (gap of 12)
Unicode codepoint
CJK Unified Ideograph-7Cf7
U+7CF7
Other letter (Lo)

UTF-8 encoding: E7 B3 B7 (3 bytes).

Hex color
#007CF7
RGB(0, 124, 247)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.124.247.

Address
0.0.124.247
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.124.247

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

Position in π

The digit sequence 31991 first appears in π at position 144,937 of the decimal expansion (the 144,937ordinal-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.