number.wiki
Number

13,913

13,913 is a prime, odd.

13,913 (thirteen thousand nine hundred thirteen) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x3659.

Arithmetic Number Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Sophie Germain Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
17
Digit product
81
Digital root
8
Palindrome
No
Bit width
14 bits
Reversed
31,931
Recamán's sequence
a(20,890) = 13,913
Square (n²)
193,571,569
Cube (n³)
2,693,161,239,497
Divisor count
2
σ(n) — sum of divisors
13,914
φ(n) — Euler's totient
13,912

Primality

13,913 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 13913
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 13,913)
1 × 13913
First multiples
13,913 · 27,826 (double) · 41,739 · 55,652 · 69,565 · 83,478 · 97,391 · 111,304 · 125,217 · 139,130

Sums & aliquot sequence

As a sum of two squares: 37² + 112²
As consecutive integers: 6,956 + 6,957

Continued fraction of √n

√13,913 = [117; (1, 20, 2, 4, 1, 1, 7, 1, 1, 2, 2, 5, 14, 1, 1, 3, 1, 2, 3, 1, 1, 33, 7, 2, …)]

Representations

In words
thirteen thousand nine hundred thirteen
Ordinal
13913th
Binary
11011001011001
Octal
33131
Hexadecimal
0x3659
Base64
Nlk=
One's complement
51,622 (16-bit)
Scientific notation
1.3913 × 10⁴
As a duration
13,913 s = 3 hours, 51 minutes, 53 seconds
In other bases
ternary (3) 201002022
quaternary (4) 3121121
quinary (5) 421123
senary (6) 144225
septenary (7) 55364
nonary (9) 21068
undecimal (11) a4a9
duodecimal (12) 8075
tridecimal (13) 6443
tetradecimal (14) 50db
pentadecimal (15) 41c8

As an angle

13,913° = 38 × 360° + 233°
233° ≈ 4.067 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ιγϡιγʹ
Mayan (base 20)
𝋡·𝋮·𝋯·𝋭
Chinese
一萬三千九百一十三
Chinese (financial)
壹萬參仟玖佰壹拾參
In other modern scripts
Eastern Arabic ١٣٩١٣ Devanagari १३९१३ Bengali ১৩৯১৩ Tamil ௧௩௯௧௩ Thai ๑๓๙๑๓ Tibetan ༡༣༩༡༣ Khmer ១៣៩១៣ Lao ໑໓໙໑໓ Burmese ၁၃၉၁၃

Digit at this position in famous constants

π — Pi (π)
Digit 13,913 = 6
e — Euler's number (e)
Digit 13,913 = 7
φ — Golden ratio (φ)
Digit 13,913 = 9
√2 — Pythagoras's (√2)
Digit 13,913 = 7
ln 2 — Natural log of 2
Digit 13,913 = 9
γ — Euler-Mascheroni (γ)
Digit 13,913 = 1

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 13,907 (gap of 6)
  • Next prime: 13,921 (gap of 8)

Pair status: sexy with 13907.

Unicode codepoint
CJK Unified Ideograph-3659
U+3659
Other letter (Lo)

UTF-8 encoding: E3 99 99 (3 bytes).

Hex color
#003659
RGB(0, 54, 89)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.54.89.

Address
0.0.54.89
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.54.89

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

Musical pitch

Heard as a frequency, 13,913 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): A9 (14080 Hz, -21¢)
  • Scientific pitch (C4 = 256 Hz): A9 (13777.2 Hz, +17¢)
  • Baroque pitch (A4 = 415 Hz): A♯9 (14069.7 Hz, -19¢)
Position in π

The digit sequence 13913 first appears in π at position 81,785 of the decimal expansion (the 81,785ordinal-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.