Number

12,641

12,641 is a prime, odd.

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

Properties

Parity: Odd
Digit count: 5
Digit sum: 14
Digit product: 48
Digital root: 5
Palindrome: No
Bit width: 14 bits
Reversed: 14,621
Recamán's sequence: a(48,993) = 12,641
Square (n²): 159,794,881
Cube (n³): 2,019,967,090,721
Divisor count: 2
σ(n) — sum of divisors: 12,642
φ(n) — Euler's totient: 12,640

Primality

12,641 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 12641

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 12,641)

1 × 12641

First multiples

12,641 · 25,282 (double) · 37,923 · 50,564 · 63,205 · 75,846 · 88,487 · 101,128 · 113,769 · 126,410

Sums & aliquot sequence

As a sum of two squares: 79² + 80²

As consecutive integers: 6,320 + 6,321

Representations

In words: twelve thousand six hundred forty-one
Ordinal: 12641st
Binary: 11000101100001
Octal: 30541
Hexadecimal: 0x3161
Base64: MWE=
One's complement: 52,894 (16-bit)

In other bases

ternary (3) 122100012

quaternary (4) 3011201

quinary (5) 401031

senary (6) 134305

septenary (7) 51566

nonary (9) 18305

undecimal (11) 9552

duodecimal (12) 7395

tridecimal (13) 59a5

tetradecimal (14) 486d

pentadecimal (15) 3b2b

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹 𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic: 𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺
Greek (Milesian): ͵ιβχμαʹ
Mayan (base 20): 𝋡·𝋫·𝋬·𝋡
Chinese: 一萬二千六百四十一
Chinese (financial): 壹萬貳仟陸佰肆拾壹

In other modern scripts

Eastern Arabic ١٢٦٤١ Devanagari १२६४१ Bengali ১২৬৪১ Tamil ௧௨௬௪௧ Thai ๑๒๖๔๑ Tibetan ༡༢༦༤༡ Khmer ១២៦៤១ Lao ໑໒໖໔໑ Burmese ၁၂၆၄၁

Digit at this position in famous constants

π — Pi (π): Digit 12,641 = 3
e — Euler's number (e): Digit 12,641 = 1
φ — Golden ratio (φ): Digit 12,641 = 0
√2 — Pythagoras's (√2): Digit 12,641 = 5
ln 2 — Natural log of 2: Digit 12,641 = 6
γ — Euler-Mascheroni (γ): Digit 12,641 = 2

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 12,637 (gap of 4)
Next prime: 12,647 (gap of 6)

Pair status: cousin with 12637, sexy with 12647.

Unicode codepoint

ㅡ

Hangul Letter Eu

U+3161

Other letter (Lo)

UTF-8 encoding: E3 85 A1 (3 bytes).

Lookup U+3161 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#003161

RGB(0, 49, 97)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.49.97.

Address: 0.0.49.97
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.49.97

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

Position in π

The digit sequence 12641 first appears in π at position 38,174 of the decimal expansion (the 38,174ordinal-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 12641 on Pi Search ↗