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Number

6,131

6,131 is a prime, odd.

6,131 (six thousand one hundred thirty-one) is an odd 4-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x17F3.

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

Interestingness

Properties

Parity
Odd
Digit count
4
Digit sum
11
Digit product
18
Digital root
2
Palindrome
No
Bit width
13 bits
Reversed
1,316
Recamán's sequence
a(12,501) = 6,131
Square (n²)
37,589,161
Cube (n³)
230,459,146,091
Divisor count
2
σ(n) — sum of divisors
6,132
φ(n) — Euler's totient
6,130

Primality

6,131 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 6131
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 6,131)
1 × 6131
First multiples
6,131 · 12,262 (double) · 18,393 · 24,524 · 30,655 · 36,786 · 42,917 · 49,048 · 55,179 · 61,310

Sums & aliquot sequence

As consecutive integers: 3,065 + 3,066

Continued fraction of √n

√6,131 = [78; (3, 3, 13, 1, 14, 1, 2, 1, 2, 2, 1, 1, 2, 3, 1, 5, 2, 30, 1, 6, 6, 1, 1, 1, …)]

Period length 50 — the block in parentheses repeats forever.

Representations

In words
six thousand one hundred thirty-one
Ordinal
6131st
Binary
1011111110011
Octal
13763
Hexadecimal
0x17F3
Base64
F/M=
One's complement
59,404 (16-bit)
Scientific notation
6.131 × 10³
As a duration
6,131 s = 1 hour, 42 minutes, 11 seconds
In other bases
ternary (3) 22102002
quaternary (4) 1133303
quinary (5) 144011
senary (6) 44215
septenary (7) 23606
nonary (9) 8362
undecimal (11) 4674
duodecimal (12) 366b
tridecimal (13) 2a38
tetradecimal (14) 233d
pentadecimal (15) 1c3b

As an angle

6,131° = 17 × 360° + 11°
11° ≈ 0.192 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ϛρλαʹ
Mayan (base 20)
𝋯·𝋦·𝋫
Chinese
六千一百三十一
Chinese (financial)
陸仟壹佰參拾壹
In other modern scripts
Eastern Arabic ٦١٣١ Devanagari ६१३१ Bengali ৬১৩১ Tamil ௬௧௩௧ Thai ๖๑๓๑ Tibetan ༦༡༣༡ Khmer ៦១៣១ Lao ໖໑໓໑ Burmese ၆၁၃၁

Digit at this position in famous constants

π — Pi (π)
Digit 6,131 = 9
e — Euler's number (e)
Digit 6,131 = 5
φ — Golden ratio (φ)
Digit 6,131 = 8
√2 — Pythagoras's (√2)
Digit 6,131 = 3
ln 2 — Natural log of 2
Digit 6,131 = 0
γ — Euler-Mascheroni (γ)
Digit 6,131 = 5

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 6,121 (gap of 10)
  • Next prime: 6,133 (gap of 2)

Pair status: twin with 6133.

Unicode codepoint
Khmer Symbol Lek Attak Bei
U+17F3
Other number (No)

UTF-8 encoding: E1 9F B3 (3 bytes).

Hex color
#0017F3
RGB(0, 23, 243)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.23.243.

Address
0.0.23.243
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.23.243

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

Musical pitch

Heard as a frequency, 6,131 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): G8 (6271.9 Hz, -39¢)
  • Scientific pitch (C4 = 256 Hz): G8 (6137.1 Hz, -2¢)
  • Baroque pitch (A4 = 415 Hz): G♯8 (6267.3 Hz, -38¢)
Position in π

The digit sequence 6131 first appears in π at position 4,244 of the decimal expansion (the 4,244ordinal-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.