Number

2,131

2,131 is a prime, odd.

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

Properties

Parity: Odd
Digit count: 4
Digit sum: 7
Digit product: 6
Digital root: 7
Palindrome: No
Bit width: 12 bits
Reversed: 1,312
Recamán's sequence: a(3,489) = 2,131
Square (n²): 4,541,161
Cube (n³): 9,677,214,091
Divisor count: 2
σ(n) — sum of divisors: 2,132
φ(n) — Euler's totient: 2,130

Primality

2,131 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 2131

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 2,131)

1 × 2131

First multiples

2,131 · 4,262 (double) · 6,393 · 8,524 · 10,655 · 12,786 · 14,917 · 17,048 · 19,179 · 21,310

Sums & aliquot sequence

As consecutive integers: 1,065 + 1,066

Representations

In words: two thousand one hundred thirty-one
Ordinal: 2131st
Roman numeral: MMCXXXI
Binary: 100001010011
Octal: 4123
Hexadecimal: 0x853
Base64: CFM=
One's complement: 63,404 (16-bit)

In other bases

ternary (3) 2220221

quaternary (4) 201103

quinary (5) 32011

senary (6) 13511

septenary (7) 6133

nonary (9) 2827

undecimal (11) 1668

duodecimal (12) 1297

tridecimal (13) c7c

tetradecimal (14) ac3

pentadecimal (15) 971

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹
Egyptian hieroglyphic: 𓆼𓆼𓍢𓎆𓎆𓎆𓏺
Greek (Milesian): ͵βρλαʹ
Mayan (base 20): 𝋥·𝋦·𝋫
Chinese: 二千一百三十一
Chinese (financial): 貳仟壹佰參拾壹

In other modern scripts

Eastern Arabic ٢١٣١ Devanagari २१३१ Bengali ২১৩১ Tamil ௨௧௩௧ Thai ๒๑๓๑ Tibetan ༢༡༣༡ Khmer ២១៣១ Lao ໒໑໓໑ Burmese ၂၁၃၁

Digit at this position in famous constants

π — Pi (π): Digit 2,131 = 0
e — Euler's number (e): Digit 2,131 = 7
φ — Golden ratio (φ): Digit 2,131 = 7
√2 — Pythagoras's (√2): Digit 2,131 = 1
ln 2 — Natural log of 2: Digit 2,131 = 9
γ — Euler-Mascheroni (γ): Digit 2,131 = 0

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 2,129 (gap of 2)
Next prime: 2,137 (gap of 6)

Pair status: twin with 2129, sexy with 2137.

Unicode codepoint

ࡓ

Mandaic Letter Ar

U+0853

Other letter (Lo)

UTF-8 encoding: E0 A1 93 (3 bytes).

Lookup U+0853 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000853

RGB(0, 8, 83)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.8.83.

Address: 0.0.8.83
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.8.83

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

Position in π

The digit sequence 2131 first appears in π at position 3,901 of the decimal expansion (the 3,901ordinal-suffix:st 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.

Look up 2131 on Pi Search ↗