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Number

13,679

13,679 is a prime, odd.

13,679 (thirteen thousand six 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, 0x356F.

Arithmetic Number Ascending Digits Chen Prime Cube-Free Deficient Number Evil Number Happy Number Prime Recamán's Sequence Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
26
Digit product
1,134
Digital root
8
Palindrome
No
Bit width
14 bits
Reversed
97,631
Recamán's sequence
a(91,286) = 13,679
Square (n²)
187,115,041
Cube (n³)
2,559,546,645,839
Divisor count
2
σ(n) — sum of divisors
13,680
φ(n) — Euler's totient
13,678

Primality

13,679 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 13679
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 13,679)
1 × 13679
First multiples
13,679 · 27,358 (double) · 41,037 · 54,716 · 68,395 · 82,074 · 95,753 · 109,432 · 123,111 · 136,790

Sums & aliquot sequence

As consecutive integers: 6,839 + 6,840

Continued fraction of √n

√13,679 = [116; (1, 22, 2, 1, 1, 8, 1, 3, 7, 3, 2, 5, 1, 8, 6, 1, 1, 3, 16, 2, 2, 1, 5, 1, …)]

Representations

In words
thirteen thousand six hundred seventy-nine
Ordinal
13679th
Binary
11010101101111
Octal
32557
Hexadecimal
0x356F
Base64
NW8=
One's complement
51,856 (16-bit)
Scientific notation
1.3679 × 10⁴
As a duration
13,679 s = 3 hours, 47 minutes, 59 seconds
In other bases
ternary (3) 200202122
quaternary (4) 3111233
quinary (5) 414204
senary (6) 143155
septenary (7) 54611
nonary (9) 20678
undecimal (11) a306
duodecimal (12) 7abb
tridecimal (13) 62c3
tetradecimal (14) 4db1
pentadecimal (15) 40be

As an angle

13,679° = 37 × 360° + 359°
359° ≈ 6.266 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιγχοθʹ
Mayan (base 20)
𝋡·𝋮·𝋣·𝋳
Chinese
一萬三千六百七十九
Chinese (financial)
壹萬參仟陸佰柒拾玖
In other modern scripts
Eastern Arabic ١٣٦٧٩ Devanagari १३६७९ Bengali ১৩৬৭৯ Tamil ௧௩௬௭௯ Thai ๑๓๖๗๙ Tibetan ༡༣༦༧༩ Khmer ១៣៦៧៩ Lao ໑໓໖໗໙ Burmese ၁၃၆၇၉

Digit at this position in famous constants

π — Pi (π)
Digit 13,679 = 5
e — Euler's number (e)
Digit 13,679 = 0
φ — Golden ratio (φ)
Digit 13,679 = 3
√2 — Pythagoras's (√2)
Digit 13,679 = 2
ln 2 — Natural log of 2
Digit 13,679 = 4
γ — Euler-Mascheroni (γ)
Digit 13,679 = 3

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 13,669 (gap of 10)
  • Next prime: 13,681 (gap of 2)

Pair status: twin with 13681.

Unicode codepoint
CJK Unified Ideograph-356F
U+356F
Other letter (Lo)

UTF-8 encoding: E3 95 AF (3 bytes).

Hex color
#00356F
RGB(0, 53, 111)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.53.111.

Address
0.0.53.111
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.53.111

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

Musical pitch

Heard as a frequency, 13,679 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): G♯9 (13289.8 Hz, +50¢ — about midway to A9)
  • Scientific pitch (C4 = 256 Hz): A9 (13777.2 Hz, -12¢)
  • Baroque pitch (A4 = 415 Hz): A♯9 (14069.7 Hz, -49¢ — about midway to A9)
Position in π

The digit sequence 13679 first appears in π at position 7,153 of the decimal expansion (the 7,153ordinal-suffix:rd 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.