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Number

13,331

13,331 is a prime, odd.

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

Properties

Parity
Odd
Digit count
5
Digit sum
11
Digit product
27
Digital root
2
Palindrome
Yes
Bit width
14 bits
Recamán's sequence
a(47,613) = 13,331
Square (n²)
177,715,561
Cube (n³)
2,369,126,143,691
Divisor count
2
σ(n) — sum of divisors
13,332
φ(n) — Euler's totient
13,330

Primality

13,331 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 13331
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 13,331)
1 × 13331
First multiples
13,331 · 26,662 (double) · 39,993 · 53,324 · 66,655 · 79,986 · 93,317 · 106,648 · 119,979 · 133,310

Sums & aliquot sequence

As consecutive integers: 6,665 + 6,666

Representations

In words
thirteen thousand three hundred thirty-one
Ordinal
13331st
Binary
11010000010011
Octal
32023
Hexadecimal
0x3413
Base64
NBM=
One's complement
52,204 (16-bit)
In other bases
ternary (3) 200021202
quaternary (4) 3100103
quinary (5) 411311
senary (6) 141415
septenary (7) 53603
nonary (9) 20252
undecimal (11) a01a
duodecimal (12) 786b
tridecimal (13) 60b6
tetradecimal (14) 4c03
pentadecimal (15) 3e3b

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ιγτλαʹ
Mayan (base 20)
𝋡·𝋭·𝋦·𝋫
Chinese
一萬三千三百三十一
Chinese (financial)
壹萬參仟參佰參拾壹
In other modern scripts
Eastern Arabic ١٣٣٣١ Devanagari १३३३१ Bengali ১৩৩৩১ Tamil ௧௩௩௩௧ Thai ๑๓๓๓๑ Tibetan ༡༣༣༣༡ Khmer ១៣៣៣១ Lao ໑໓໓໓໑ Burmese ၁၃၃၃၁

Digit at this position in famous constants

π — Pi (π)
Digit 13,331 = 3
e — Euler's number (e)
Digit 13,331 = 4
φ — Golden ratio (φ)
Digit 13,331 = 2
√2 — Pythagoras's (√2)
Digit 13,331 = 6
ln 2 — Natural log of 2
Digit 13,331 = 2
γ — Euler-Mascheroni (γ)
Digit 13,331 = 3

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 13,327 (gap of 4)
  • Next prime: 13,337 (gap of 6)

Pair status: cousin with 13327, sexy with 13337.

Unicode codepoint
CJK Unified Ideograph-3413
U+3413
Other letter (Lo)

UTF-8 encoding: E3 90 93 (3 bytes).

Hex color
#003413
RGB(0, 52, 19)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.52.19.

Address
0.0.52.19
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.52.19

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

Position in π

The digit sequence 13331 first appears in π at position 8,827 of the decimal expansion (the 8,827ordinal-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.