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Number

13,381

13,381 is a prime, odd.

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

Properties

Parity
Odd
Digit count
5
Digit sum
16
Digit product
72
Digital root
7
Palindrome
No
Bit width
14 bits
Reversed
18,331
Recamán's sequence
a(47,513) = 13,381
Square (n²)
179,051,161
Cube (n³)
2,395,883,585,341
Divisor count
2
σ(n) — sum of divisors
13,382
φ(n) — Euler's totient
13,380

Primality

13,381 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 13381
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 13,381)
1 × 13381
First multiples
13,381 · 26,762 (double) · 40,143 · 53,524 · 66,905 · 80,286 · 93,667 · 107,048 · 120,429 · 133,810

Sums & aliquot sequence

As a sum of two squares: 66² + 95²
As consecutive integers: 6,690 + 6,691

Representations

In words
thirteen thousand three hundred eighty-one
Ordinal
13381st
Binary
11010001000101
Octal
32105
Hexadecimal
0x3445
Base64
NEU=
One's complement
52,154 (16-bit)
In other bases
ternary (3) 200100121
quaternary (4) 3101011
quinary (5) 412011
senary (6) 141541
septenary (7) 54004
nonary (9) 20317
undecimal (11) a065
duodecimal (12) 78b1
tridecimal (13) 6124
tetradecimal (14) 4c3b
pentadecimal (15) 3e71

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ιγτπαʹ
Mayan (base 20)
𝋡·𝋭·𝋩·𝋡
Chinese
一萬三千三百八十一
Chinese (financial)
壹萬參仟參佰捌拾壹
In other modern scripts
Eastern Arabic ١٣٣٨١ Devanagari १३३८१ Bengali ১৩৩৮১ Tamil ௧௩௩௮௧ Thai ๑๓๓๘๑ Tibetan ༡༣༣༨༡ Khmer ១៣៣៨១ Lao ໑໓໓໘໑ Burmese ၁၃၃၈၁

Digit at this position in famous constants

π — Pi (π)
Digit 13,381 = 4
e — Euler's number (e)
Digit 13,381 = 6
φ — Golden ratio (φ)
Digit 13,381 = 4
√2 — Pythagoras's (√2)
Digit 13,381 = 9
ln 2 — Natural log of 2
Digit 13,381 = 6
γ — Euler-Mascheroni (γ)
Digit 13,381 = 5

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 13,367 (gap of 14)
  • Next prime: 13,397 (gap of 16)
Unicode codepoint
CJK Unified Ideograph-3445
U+3445
Other letter (Lo)

UTF-8 encoding: E3 91 85 (3 bytes).

Hex color
#003445
RGB(0, 52, 69)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.52.69.

Address
0.0.52.69
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.52.69

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

Position in π

The digit sequence 13381 first appears in π at position 146,642 of the decimal expansion (the 146,642ordinal-suffix:nd 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.