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Number

13,127

13,127 is a prime, odd.

13,127 (thirteen thousand one hundred twenty-seven) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x3347.

Arithmetic Number Chen Prime Cube-Free Deficient Number Evil Number Prime Recamán's Sequence Safe Prime Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
14
Digit product
42
Digital root
5
Palindrome
No
Bit width
14 bits
Reversed
72,131
Recamán's sequence
a(48,021) = 13,127
Square (n²)
172,318,129
Cube (n³)
2,262,020,079,383
Divisor count
2
σ(n) — sum of divisors
13,128
φ(n) — Euler's totient
13,126

Primality

13,127 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 13127
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 13,127)
1 × 13127
First multiples
13,127 · 26,254 (double) · 39,381 · 52,508 · 65,635 · 78,762 · 91,889 · 105,016 · 118,143 · 131,270

Sums & aliquot sequence

As consecutive integers: 6,563 + 6,564

Continued fraction of √n

√13,127 = [114; (1, 1, 2, 1, 11, 2, 1, 8, 7, 3, 1, 1, 1, 1, 1, 1, 9, 1, 3, 1, 31, 1, 15, 2, …)]

Representations

In words
thirteen thousand one hundred twenty-seven
Ordinal
13127th
Binary
11001101000111
Octal
31507
Hexadecimal
0x3347
Base64
M0c=
One's complement
52,408 (16-bit)
Scientific notation
1.3127 × 10⁴
As a duration
13,127 s = 3 hours, 38 minutes, 47 seconds
In other bases
ternary (3) 200000012
quaternary (4) 3031013
quinary (5) 410002
senary (6) 140435
septenary (7) 53162
nonary (9) 20005
undecimal (11) 9954
duodecimal (12) 771b
tridecimal (13) 5c8a
tetradecimal (14) 4ad9
pentadecimal (15) 3d52

As an angle

13,127° = 36 × 360° + 167°
167° ≈ 2.915 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιγρκζʹ
Mayan (base 20)
𝋡·𝋬·𝋰·𝋧
Chinese
一萬三千一百二十七
Chinese (financial)
壹萬參仟壹佰貳拾柒
In other modern scripts
Eastern Arabic ١٣١٢٧ Devanagari १३१२७ Bengali ১৩১২৭ Tamil ௧௩௧௨௭ Thai ๑๓๑๒๗ Tibetan ༡༣༡༢༧ Khmer ១៣១២៧ Lao ໑໓໑໒໗ Burmese ၁၃၁၂၇

Digit at this position in famous constants

π — Pi (π)
Digit 13,127 = 4
e — Euler's number (e)
Digit 13,127 = 8
φ — Golden ratio (φ)
Digit 13,127 = 3
√2 — Pythagoras's (√2)
Digit 13,127 = 6
ln 2 — Natural log of 2
Digit 13,127 = 2
γ — Euler-Mascheroni (γ)
Digit 13,127 = 1

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 13,121 (gap of 6)
  • Next prime: 13,147 (gap of 20)

Pair status: sexy with 13121.

Unicode codepoint
Square Mansyon
U+3347
Other symbol (So)

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

Hex color
#003347
RGB(0, 51, 71)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.51.71.

Address
0.0.51.71
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.51.71

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

Musical pitch

Heard as a frequency, 13,127 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): G♯9 (13289.8 Hz, -21¢)
  • Scientific pitch (C4 = 256 Hz): G♯9 (13004 Hz, +16¢)
  • Baroque pitch (A4 = 415 Hz): A9 (13280 Hz, -20¢)
Position in π

The digit sequence 13127 first appears in π at position 54,514 of the decimal expansion (the 54,514ordinal-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.

Related reading

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.