Number

2,381

2,381 is a prime, odd.

Arithmetic Number Chen Prime Cousin Prime Deficient Number Evil Number Prime Pythagorean Prime Recamán's Sequence Squarefree Twin Prime

Properties

Parity: Odd
Digit count: 4
Digit sum: 14
Digit product: 48
Digital root: 5
Palindrome: No
Bit width: 12 bits
Reversed: 1,832
Recamán's sequence: a(15,729) = 2,381
Square (n²): 5,669,161
Cube (n³): 13,498,272,341
Divisor count: 2
σ(n) — sum of divisors: 2,382
φ(n) — Euler's totient: 2,380

Primality

2,381 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 2381

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 2,381)

1 × 2381

First multiples

2,381 · 4,762 (double) · 7,143 · 9,524 · 11,905 · 14,286 · 16,667 · 19,048 · 21,429 · 23,810

Sums & aliquot sequence

As a sum of two squares: 34² + 35²

As consecutive integers: 1,190 + 1,191

Representations

In words: two thousand three hundred eighty-one
Ordinal: 2381st
Roman numeral: MMCCCLXXXI
Binary: 100101001101
Octal: 4515
Hexadecimal: 0x94D
Base64: CU0=
One's complement: 63,154 (16-bit)

In other bases

ternary (3) 10021012

quaternary (4) 211031

quinary (5) 34011

senary (6) 15005

septenary (7) 6641

nonary (9) 3235

undecimal (11) 1875

duodecimal (12) 1465

tridecimal (13) 1112

tetradecimal (14) c21

pentadecimal (15) a8b

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic: 𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian): ͵βτπαʹ
Mayan (base 20): 𝋥·𝋳·𝋡
Chinese: 二千三百八十一
Chinese (financial): 貳仟參佰捌拾壹

In other modern scripts

Eastern Arabic ٢٣٨١ Devanagari २३८१ Bengali ২৩৮১ Tamil ௨௩௮௧ Thai ๒๓๘๑ Tibetan ༢༣༨༡ Khmer ២៣៨១ Lao ໒໓໘໑ Burmese ၂၃၈၁

Digit at this position in famous constants

π — Pi (π): Digit 2,381 = 8
e — Euler's number (e): Digit 2,381 = 4
φ — Golden ratio (φ): Digit 2,381 = 5
√2 — Pythagoras's (√2): Digit 2,381 = 6
ln 2 — Natural log of 2: Digit 2,381 = 3
γ — Euler-Mascheroni (γ): Digit 2,381 = 2

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 2,377 (gap of 4)
Next prime: 2,383 (gap of 2)

Pair status: twin with 2383, cousin with 2377.

Unicode codepoint

्

Devanagari Sign Virama

U+094D

Non-spacing mark (Mn)

UTF-8 encoding: E0 A5 8D (3 bytes).

Lookup U+094D on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#00094D

RGB(0, 9, 77)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.9.77.

Address: 0.0.9.77
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.9.77

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

Position in π

The digit sequence 2381 first appears in π at position 13,999 of the decimal expansion (the 13,999ordinal-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.

Look up 2381 on Pi Search ↗