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Number

13,171

13,171 is a prime, odd.

Arithmetic Number Chen Prime Deficient Number Odious Number Prime Recamán's Sequence Sexy Prime Squarefree

Properties

Parity
Odd
Digit count
5
Digit sum
13
Digit product
21
Digital root
4
Palindrome
No
Bit width
14 bits
Reversed
17,131
Recamán's sequence
a(47,933) = 13,171
Square (n²)
173,475,241
Cube (n³)
2,284,842,399,211
Divisor count
2
σ(n) — sum of divisors
13,172
φ(n) — Euler's totient
13,170

Primality

13,171 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 13171
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 13,171)
1 × 13171
First multiples
13,171 · 26,342 (double) · 39,513 · 52,684 · 65,855 · 79,026 · 92,197 · 105,368 · 118,539 · 131,710

Sums & aliquot sequence

As consecutive integers: 6,585 + 6,586

Representations

In words
thirteen thousand one hundred seventy-one
Ordinal
13171st
Binary
11001101110011
Octal
31563
Hexadecimal
0x3373
Base64
M3M=
One's complement
52,364 (16-bit)
In other bases
ternary (3) 200001211
quaternary (4) 3031303
quinary (5) 410141
senary (6) 140551
septenary (7) 53254
nonary (9) 20054
undecimal (11) 9994
duodecimal (12) 7757
tridecimal (13) 5cc2
tetradecimal (14) 4b2b
pentadecimal (15) 3d81

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ιγροαʹ
Mayan (base 20)
𝋡·𝋬·𝋲·𝋫
Chinese
一萬三千一百七十一
Chinese (financial)
壹萬參仟壹佰柒拾壹
In other modern scripts
Eastern Arabic ١٣١٧١ Devanagari १३१७१ Bengali ১৩১৭১ Tamil ௧௩௧௭௧ Thai ๑๓๑๗๑ Tibetan ༡༣༡༧༡ Khmer ១៣១៧១ Lao ໑໓໑໗໑ Burmese ၁၃၁၇၁

Digit at this position in famous constants

π — Pi (π)
Digit 13,171 = 5
e — Euler's number (e)
Digit 13,171 = 6
φ — Golden ratio (φ)
Digit 13,171 = 6
√2 — Pythagoras's (√2)
Digit 13,171 = 7
ln 2 — Natural log of 2
Digit 13,171 = 8
γ — Euler-Mascheroni (γ)
Digit 13,171 = 4

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 13,163 (gap of 8)
  • Next prime: 13,177 (gap of 6)

Pair status: sexy with 13177.

Unicode codepoint
Square Au
U+3373
Other symbol (So)

UTF-8 encoding: E3 8D B3 (3 bytes).

Hex color
#003373
RGB(0, 51, 115)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.51.115.

Address
0.0.51.115
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.51.115

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

Position in π

The digit sequence 13171 first appears in π at position 38,102 of the decimal expansion (the 38,102ordinal-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.