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Number

12,613

12,613 is a prime, odd.

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

Properties

Parity
Odd
Digit count
5
Digit sum
13
Digit product
36
Digital root
4
Palindrome
No
Bit width
14 bits
Reversed
31,621
Recamán's sequence
a(49,049) = 12,613
Square (n²)
159,087,769
Cube (n³)
2,006,574,030,397
Divisor count
2
σ(n) — sum of divisors
12,614
φ(n) — Euler's totient
12,612

Primality

12,613 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 12613
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 12,613)
1 × 12613
First multiples
12,613 · 25,226 (double) · 37,839 · 50,452 · 63,065 · 75,678 · 88,291 · 100,904 · 113,517 · 126,130

Sums & aliquot sequence

As a sum of two squares: 47² + 102²
As consecutive integers: 6,306 + 6,307

Representations

In words
twelve thousand six hundred thirteen
Ordinal
12613th
Binary
11000101000101
Octal
30505
Hexadecimal
0x3145
Base64
MUU=
One's complement
52,922 (16-bit)
In other bases
ternary (3) 122022011
quaternary (4) 3011011
quinary (5) 400423
senary (6) 134221
septenary (7) 51526
nonary (9) 18264
undecimal (11) 9527
duodecimal (12) 7371
tridecimal (13) 5983
tetradecimal (14) 484d
pentadecimal (15) 3b0d

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ιβχιγʹ
Mayan (base 20)
𝋡·𝋫·𝋪·𝋭
Chinese
一萬二千六百一十三
Chinese (financial)
壹萬貳仟陸佰壹拾參
In other modern scripts
Eastern Arabic ١٢٦١٣ Devanagari १२६१३ Bengali ১২৬১৩ Tamil ௧௨௬௧௩ Thai ๑๒๖๑๓ Tibetan ༡༢༦༡༣ Khmer ១២៦១៣ Lao ໑໒໖໑໓ Burmese ၁၂၆၁၃

Digit at this position in famous constants

π — Pi (π)
Digit 12,613 = 1
e — Euler's number (e)
Digit 12,613 = 3
φ — Golden ratio (φ)
Digit 12,613 = 2
√2 — Pythagoras's (√2)
Digit 12,613 = 6
ln 2 — Natural log of 2
Digit 12,613 = 4
γ — Euler-Mascheroni (γ)
Digit 12,613 = 5

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 12,611 (gap of 2)
  • Next prime: 12,619 (gap of 6)

Pair status: twin with 12611, sexy with 12619.

Unicode codepoint
Hangul Letter Sios
U+3145
Other letter (Lo)

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

Hex color
#003145
RGB(0, 49, 69)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.49.69.

Address
0.0.49.69
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.49.69

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

Position in π

The digit sequence 12613 first appears in π at position 26,714 of the decimal expansion (the 26,714ordinal-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.