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Number

13,831

13,831 is a prime, odd.

Arithmetic Number Deficient Number Odious Number Palindrome Pernicious Number Prime Recamán's Sequence Squarefree Twin Prime

Properties

Parity
Odd
Digit count
5
Digit sum
16
Digit product
72
Digital root
7
Palindrome
Yes
Bit width
14 bits
Recamán's sequence
a(21,054) = 13,831
Square (n²)
191,296,561
Cube (n³)
2,645,822,735,191
Divisor count
2
σ(n) — sum of divisors
13,832
φ(n) — Euler's totient
13,830

Primality

13,831 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 13831
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 13,831)
1 × 13831
First multiples
13,831 · 27,662 (double) · 41,493 · 55,324 · 69,155 · 82,986 · 96,817 · 110,648 · 124,479 · 138,310

Sums & aliquot sequence

As consecutive integers: 6,915 + 6,916

Representations

In words
thirteen thousand eight hundred thirty-one
Ordinal
13831st
Binary
11011000000111
Octal
33007
Hexadecimal
0x3607
Base64
Ngc=
One's complement
51,704 (16-bit)
In other bases
ternary (3) 200222021
quaternary (4) 3120013
quinary (5) 420311
senary (6) 144011
septenary (7) 55216
nonary (9) 20867
undecimal (11) a434
duodecimal (12) 8007
tridecimal (13) 63ac
tetradecimal (14) 507d
pentadecimal (15) 4171

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ιγωλαʹ
Mayan (base 20)
𝋡·𝋮·𝋫·𝋫
Chinese
一萬三千八百三十一
Chinese (financial)
壹萬參仟捌佰參拾壹
In other modern scripts
Eastern Arabic ١٣٨٣١ Devanagari १३८३१ Bengali ১৩৮৩১ Tamil ௧௩௮௩௧ Thai ๑๓๘๓๑ Tibetan ༡༣༨༣༡ Khmer ១៣៨៣១ Lao ໑໓໘໓໑ Burmese ၁၃၈၃၁

Digit at this position in famous constants

π — Pi (π)
Digit 13,831 = 5
e — Euler's number (e)
Digit 13,831 = 7
φ — Golden ratio (φ)
Digit 13,831 = 1
√2 — Pythagoras's (√2)
Digit 13,831 = 2
ln 2 — Natural log of 2
Digit 13,831 = 2
γ — Euler-Mascheroni (γ)
Digit 13,831 = 1

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 13,829 (gap of 2)
  • Next prime: 13,841 (gap of 10)

Pair status: twin with 13829.

Unicode codepoint
CJK Unified Ideograph-3607
U+3607
Other letter (Lo)

UTF-8 encoding: E3 98 87 (3 bytes).

Hex color
#003607
RGB(0, 54, 7)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.54.7.

Address
0.0.54.7
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.54.7

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

Position in π

The digit sequence 13831 first appears in π at position 11,000 of the decimal expansion (the 11,000ordinal-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.