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Number

13,901

13,901 is a prime, odd.

13,901 (thirteen thousand nine hundred one) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x364D.

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

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
14 bits
Reversed
10,931
Recamán's sequence
a(20,914) = 13,901
Square (n²)
193,237,801
Cube (n³)
2,686,198,671,701
Divisor count
2
σ(n) — sum of divisors
13,902
φ(n) — Euler's totient
13,900

Primality

13,901 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 13901
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 13,901)
1 × 13901
First multiples
13,901 · 27,802 (double) · 41,703 · 55,604 · 69,505 · 83,406 · 97,307 · 111,208 · 125,109 · 139,010

Sums & aliquot sequence

As a sum of two squares: 26² + 115²
As consecutive integers: 6,950 + 6,951

Continued fraction of √n

√13,901 = [117; (1, 9, 3, 1, 8, 1, 2, 11, 2, 4, 17, 1, 10, 1, 5, 2, 5, 3, 2, 4, 58, 1, 2, 1, …)]

Representations

In words
thirteen thousand nine hundred one
Ordinal
13901st
Binary
11011001001101
Octal
33115
Hexadecimal
0x364D
Base64
Nk0=
One's complement
51,634 (16-bit)
Scientific notation
1.3901 × 10⁴
As a duration
13,901 s = 3 hours, 51 minutes, 41 seconds
In other bases
ternary (3) 201001212
quaternary (4) 3121031
quinary (5) 421101
senary (6) 144205
septenary (7) 55346
nonary (9) 21055
undecimal (11) a498
duodecimal (12) 8065
tridecimal (13) 6434
tetradecimal (14) 50cd
pentadecimal (15) 41bb

As an angle

13,901° = 38 × 360° + 221°
221° ≈ 3.857 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺
Greek (Milesian)
͵ιγϡαʹ
Mayan (base 20)
𝋡·𝋮·𝋯·𝋡
Chinese
一萬三千九百零一
Chinese (financial)
壹萬參仟玖佰零壹
In other modern scripts
Eastern Arabic ١٣٩٠١ Devanagari १३९०१ Bengali ১৩৯০১ Tamil ௧௩௯௦௧ Thai ๑๓๙๐๑ Tibetan ༡༣༩༠༡ Khmer ១៣៩០១ Lao ໑໓໙໐໑ Burmese ၁၃၉၀၁

Digit at this position in famous constants

π — Pi (π)
Digit 13,901 = 7
e — Euler's number (e)
Digit 13,901 = 3
φ — Golden ratio (φ)
Digit 13,901 = 4
√2 — Pythagoras's (√2)
Digit 13,901 = 4
ln 2 — Natural log of 2
Digit 13,901 = 1
γ — Euler-Mascheroni (γ)
Digit 13,901 = 3

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 13,883 (gap of 18)
  • Next prime: 13,903 (gap of 2)

Pair status: twin with 13903.

Unicode codepoint
CJK Unified Ideograph-364D
U+364D
Other letter (Lo)

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

Hex color
#00364D
RGB(0, 54, 77)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.54.77.

Address
0.0.54.77
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.54.77

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

Musical pitch

Heard as a frequency, 13,901 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): A9 (14080 Hz, -22¢)
  • Scientific pitch (C4 = 256 Hz): A9 (13777.2 Hz, +15¢)
  • Baroque pitch (A4 = 415 Hz): A♯9 (14069.7 Hz, -21¢)
Position in π

The digit sequence 13901 first appears in π at position 195,587 of the decimal expansion (the 195,587ordinal-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.