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Number

12,713

12,713 is a prime, odd.

Arithmetic Number Chen Prime Deficient Number Emirp Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Squarefree

Properties

Parity
Odd
Digit count
5
Digit sum
14
Digit product
42
Digital root
5
Palindrome
No
Bit width
14 bits
Reversed
31,721
Recamán's sequence
a(48,849) = 12,713
Square (n²)
161,620,369
Cube (n³)
2,054,679,751,097
Divisor count
2
σ(n) — sum of divisors
12,714
φ(n) — Euler's totient
12,712

Primality

12,713 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 12713
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 12,713)
1 × 12713
First multiples
12,713 · 25,426 (double) · 38,139 · 50,852 · 63,565 · 76,278 · 88,991 · 101,704 · 114,417 · 127,130

Sums & aliquot sequence

As a sum of two squares: 13² + 112²
As consecutive integers: 6,356 + 6,357

Representations

In words
twelve thousand seven hundred thirteen
Ordinal
12713th
Binary
11000110101001
Octal
30651
Hexadecimal
0x31A9
Base64
Mak=
One's complement
52,822 (16-bit)
In other bases
ternary (3) 122102212
quaternary (4) 3012221
quinary (5) 401323
senary (6) 134505
septenary (7) 52031
nonary (9) 18385
undecimal (11) 9608
duodecimal (12) 7435
tridecimal (13) 5a2c
tetradecimal (14) 48c1
pentadecimal (15) 3b78

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ιβψιγʹ
Mayan (base 20)
𝋡·𝋫·𝋯·𝋭
Chinese
一萬二千七百一十三
Chinese (financial)
壹萬貳仟柒佰壹拾參
In other modern scripts
Eastern Arabic ١٢٧١٣ Devanagari १२७१३ Bengali ১২৭১৩ Tamil ௧௨௭௧௩ Thai ๑๒๗๑๓ Tibetan ༡༢༧༡༣ Khmer ១២៧១៣ Lao ໑໒໗໑໓ Burmese ၁၂၇၁၃

Digit at this position in famous constants

π — Pi (π)
Digit 12,713 = 3
e — Euler's number (e)
Digit 12,713 = 3
φ — Golden ratio (φ)
Digit 12,713 = 6
√2 — Pythagoras's (√2)
Digit 12,713 = 0
ln 2 — Natural log of 2
Digit 12,713 = 2
γ — Euler-Mascheroni (γ)
Digit 12,713 = 1

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 12,703 (gap of 10)
  • Next prime: 12,721 (gap of 8)
Unicode codepoint
Bopomofo Letter Ann
U+31A9
Other letter (Lo)

UTF-8 encoding: E3 86 A9 (3 bytes).

Hex color
#0031A9
RGB(0, 49, 169)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.49.169.

Address
0.0.49.169
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.49.169

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

Possible US bank routing number

This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.

Routing number
000012713
Federal Reserve
United States Government

Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.

Position in π

The digit sequence 12713 first appears in π at position 52,998 of the decimal expansion (the 52,998ordinal-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.