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Number

13,187

13,187 is a prime, odd.

Arithmetic Number Cousin Prime Deficient Number Odious Number Pernicious Number Prime Recamán's Sequence Squarefree

Properties

Parity
Odd
Digit count
5
Digit sum
20
Digit product
168
Digital root
2
Palindrome
No
Bit width
14 bits
Reversed
78,131
Recamán's sequence
a(47,901) = 13,187
Square (n²)
173,896,969
Cube (n³)
2,293,179,330,203
Divisor count
2
σ(n) — sum of divisors
13,188
φ(n) — Euler's totient
13,186

Primality

13,187 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 13187
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 13,187)
1 × 13187
First multiples
13,187 · 26,374 (double) · 39,561 · 52,748 · 65,935 · 79,122 · 92,309 · 105,496 · 118,683 · 131,870

Sums & aliquot sequence

As consecutive integers: 6,593 + 6,594

Representations

In words
thirteen thousand one hundred eighty-seven
Ordinal
13187th
Binary
11001110000011
Octal
31603
Hexadecimal
0x3383
Base64
M4M=
One's complement
52,348 (16-bit)
In other bases
ternary (3) 200002102
quaternary (4) 3032003
quinary (5) 410222
senary (6) 141015
septenary (7) 53306
nonary (9) 20072
undecimal (11) 99a9
duodecimal (12) 776b
tridecimal (13) 6005
tetradecimal (14) 4b3d
pentadecimal (15) 3d92

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιγρπζʹ
Mayan (base 20)
𝋡·𝋬·𝋳·𝋧
Chinese
一萬三千一百八十七
Chinese (financial)
壹萬參仟壹佰捌拾柒
In other modern scripts
Eastern Arabic ١٣١٨٧ Devanagari १३१८७ Bengali ১৩১৮৭ Tamil ௧௩௧௮௭ Thai ๑๓๑๘๗ Tibetan ༡༣༡༨༧ Khmer ១៣១៨៧ Lao ໑໓໑໘໗ Burmese ၁၃၁၈၇

Digit at this position in famous constants

π — Pi (π)
Digit 13,187 = 3
e — Euler's number (e)
Digit 13,187 = 8
φ — Golden ratio (φ)
Digit 13,187 = 6
√2 — Pythagoras's (√2)
Digit 13,187 = 4
ln 2 — Natural log of 2
Digit 13,187 = 9
γ — Euler-Mascheroni (γ)
Digit 13,187 = 7

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 13,183 (gap of 4)
  • Next prime: 13,217 (gap of 30)

Pair status: cousin with 13183.

Unicode codepoint
Square Ma
U+3383
Other symbol (So)

UTF-8 encoding: E3 8E 83 (3 bytes).

Hex color
#003383
RGB(0, 51, 131)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.51.131.

Address
0.0.51.131
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.51.131

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

Position in π

The digit sequence 13187 first appears in π at position 69,058 of the decimal expansion (the 69,058ordinal-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.