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Number

13,879

13,879 is a prime, odd.

13,879 (thirteen thousand eight hundred seventy-nine) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x3637.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Odious Number Prime Recamán's Sequence Sexy Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
28
Digit product
1,512
Digital root
1
Palindrome
No
Bit width
14 bits
Reversed
97,831
Recamán's sequence
a(20,958) = 13,879
Square (n²)
192,626,641
Cube (n³)
2,673,465,150,439
Divisor count
2
σ(n) — sum of divisors
13,880
φ(n) — Euler's totient
13,878

Primality

13,879 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 13879
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 13,879)
1 × 13879
First multiples
13,879 · 27,758 (double) · 41,637 · 55,516 · 69,395 · 83,274 · 97,153 · 111,032 · 124,911 · 138,790

Sums & aliquot sequence

As consecutive integers: 6,939 + 6,940

Continued fraction of √n

√13,879 = [117; (1, 4, 4, 6, 7, 1, 2, 3, 1, 3, 1, 2, 12, 23, 2, 12, 1, 1, 1, 1, 77, 1, 14, 1, …)]

Representations

In words
thirteen thousand eight hundred seventy-nine
Ordinal
13879th
Binary
11011000110111
Octal
33067
Hexadecimal
0x3637
Base64
Njc=
One's complement
51,656 (16-bit)
Scientific notation
1.3879 × 10⁴
As a duration
13,879 s = 3 hours, 51 minutes, 19 seconds
In other bases
ternary (3) 201001001
quaternary (4) 3120313
quinary (5) 421004
senary (6) 144131
septenary (7) 55315
nonary (9) 21031
undecimal (11) a478
duodecimal (12) 8047
tridecimal (13) 6418
tetradecimal (14) 50b5
pentadecimal (15) 41a4

As an angle

13,879° = 38 × 360° + 199°
199° ≈ 3.473 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιγωοθʹ
Mayan (base 20)
𝋡·𝋮·𝋭·𝋳
Chinese
一萬三千八百七十九
Chinese (financial)
壹萬參仟捌佰柒拾玖
In other modern scripts
Eastern Arabic ١٣٨٧٩ Devanagari १३८७९ Bengali ১৩৮৭৯ Tamil ௧௩௮௭௯ Thai ๑๓๘๗๙ Tibetan ༡༣༨༧༩ Khmer ១៣៨៧៩ Lao ໑໓໘໗໙ Burmese ၁၃၈၇၉

Digit at this position in famous constants

π — Pi (π)
Digit 13,879 = 5
e — Euler's number (e)
Digit 13,879 = 0
φ — Golden ratio (φ)
Digit 13,879 = 3
√2 — Pythagoras's (√2)
Digit 13,879 = 5
ln 2 — Natural log of 2
Digit 13,879 = 8
γ — Euler-Mascheroni (γ)
Digit 13,879 = 9

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 13,877 (gap of 2)
  • Next prime: 13,883 (gap of 4)

Pair status: twin with 13877, cousin with 13883.

Unicode codepoint
CJK Unified Ideograph-3637
U+3637
Other letter (Lo)

UTF-8 encoding: E3 98 B7 (3 bytes).

Hex color
#003637
RGB(0, 54, 55)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.54.55.

Address
0.0.54.55
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.54.55

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

Musical pitch

Heard as a frequency, 13,879 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): A9 (14080 Hz, -25¢)
  • Scientific pitch (C4 = 256 Hz): A9 (13777.2 Hz, +13¢)
  • Baroque pitch (A4 = 415 Hz): A♯9 (14069.7 Hz, -24¢)
Position in π

The digit sequence 13879 first appears in π at position 307,866 of the decimal expansion (the 307,866ordinal-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.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.