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Number

13,613

13,613 is a prime, odd.

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

Properties

Parity
Odd
Digit count
5
Digit sum
14
Digit product
54
Digital root
5
Palindrome
No
Bit width
14 bits
Reversed
31,631
Recamán's sequence
a(3,998) = 13,613
Square (n²)
185,313,769
Cube (n³)
2,522,676,337,397
Divisor count
2
σ(n) — sum of divisors
13,614
φ(n) — Euler's totient
13,612

Primality

13,613 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 13613
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 13,613)
1 × 13613
First multiples
13,613 · 27,226 (double) · 40,839 · 54,452 · 68,065 · 81,678 · 95,291 · 108,904 · 122,517 · 136,130

Sums & aliquot sequence

As a sum of two squares: 82² + 83²
As consecutive integers: 6,806 + 6,807

Representations

In words
thirteen thousand six hundred thirteen
Ordinal
13613th
Binary
11010100101101
Octal
32455
Hexadecimal
0x352D
Base64
NS0=
One's complement
51,922 (16-bit)
In other bases
ternary (3) 200200012
quaternary (4) 3110231
quinary (5) 413423
senary (6) 143005
septenary (7) 54455
nonary (9) 20605
undecimal (11) a256
duodecimal (12) 7a65
tridecimal (13) 6272
tetradecimal (14) 4d65
pentadecimal (15) 4078

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ιγχιγʹ
Mayan (base 20)
𝋡·𝋮·𝋠·𝋭
Chinese
一萬三千六百一十三
Chinese (financial)
壹萬參仟陸佰壹拾參
In other modern scripts
Eastern Arabic ١٣٦١٣ Devanagari १३६१३ Bengali ১৩৬১৩ Tamil ௧௩௬௧௩ Thai ๑๓๖๑๓ Tibetan ༡༣༦༡༣ Khmer ១៣៦១៣ Lao ໑໓໖໑໓ Burmese ၁၃၆၁၃

Digit at this position in famous constants

π — Pi (π)
Digit 13,613 = 6
e — Euler's number (e)
Digit 13,613 = 4
φ — Golden ratio (φ)
Digit 13,613 = 2
√2 — Pythagoras's (√2)
Digit 13,613 = 2
ln 2 — Natural log of 2
Digit 13,613 = 1
γ — Euler-Mascheroni (γ)
Digit 13,613 = 6

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 13,597 (gap of 16)
  • Next prime: 13,619 (gap of 6)

Pair status: sexy with 13619.

Unicode codepoint
CJK Unified Ideograph-352D
U+352D
Other letter (Lo)

UTF-8 encoding: E3 94 AD (3 bytes).

Hex color
#00352D
RGB(0, 53, 45)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.53.45.

Address
0.0.53.45
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.53.45

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

Position in π

The digit sequence 13613 first appears in π at position 62,539 of the decimal expansion (the 62,539ordinal-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.