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Number

13,907

13,907 is a prime, odd.

13,907 (thirteen thousand nine hundred seven) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x3653.

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

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
14 bits
Reversed
70,931
Recamán's sequence
a(20,902) = 13,907
Square (n²)
193,404,649
Cube (n³)
2,689,678,453,643
Divisor count
2
σ(n) — sum of divisors
13,908
φ(n) — Euler's totient
13,906

Primality

13,907 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 13907
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 13,907)
1 × 13907
First multiples
13,907 · 27,814 (double) · 41,721 · 55,628 · 69,535 · 83,442 · 97,349 · 111,256 · 125,163 · 139,070

Sums & aliquot sequence

As consecutive integers: 6,953 + 6,954

Continued fraction of √n

√13,907 = [117; (1, 12, 1, 7, 4, 1, 8, 3, 1, 3, 21, 5, 1, 2, 2, 1, 1, 10, 7, 1, 1, 17, 1, 1, …)]

Representations

In words
thirteen thousand nine hundred seven
Ordinal
13907th
Binary
11011001010011
Octal
33123
Hexadecimal
0x3653
Base64
NlM=
One's complement
51,628 (16-bit)
Scientific notation
1.3907 × 10⁴
As a duration
13,907 s = 3 hours, 51 minutes, 47 seconds
In other bases
ternary (3) 201002002
quaternary (4) 3121103
quinary (5) 421112
senary (6) 144215
septenary (7) 55355
nonary (9) 21062
undecimal (11) a4a3
duodecimal (12) 806b
tridecimal (13) 643a
tetradecimal (14) 50d5
pentadecimal (15) 41c2
Palindromic in base 7

As an angle

13,907° = 38 × 360° + 227°
227° ≈ 3.962 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιγϡζʹ
Mayan (base 20)
𝋡·𝋮·𝋯·𝋧
Chinese
一萬三千九百零七
Chinese (financial)
壹萬參仟玖佰零柒
In other modern scripts
Eastern Arabic ١٣٩٠٧ Devanagari १३९०७ Bengali ১৩৯০৭ Tamil ௧௩௯௦௭ Thai ๑๓๙๐๗ Tibetan ༡༣༩༠༧ Khmer ១៣៩០៧ Lao ໑໓໙໐໗ Burmese ၁၃၉၀၇

Digit at this position in famous constants

π — Pi (π)
Digit 13,907 = 1
e — Euler's number (e)
Digit 13,907 = 8
φ — Golden ratio (φ)
Digit 13,907 = 3
√2 — Pythagoras's (√2)
Digit 13,907 = 1
ln 2 — Natural log of 2
Digit 13,907 = 5
γ — Euler-Mascheroni (γ)
Digit 13,907 = 7

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 13,903 (gap of 4)
  • Next prime: 13,913 (gap of 6)

Pair status: cousin with 13903, sexy with 13913.

Unicode codepoint
CJK Unified Ideograph-3653
U+3653
Other letter (Lo)

UTF-8 encoding: E3 99 93 (3 bytes).

Hex color
#003653
RGB(0, 54, 83)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.54.83.

Address
0.0.54.83
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.54.83

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

Musical pitch

Heard as a frequency, 13,907 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): A9 (14080 Hz, -21¢)
  • Scientific pitch (C4 = 256 Hz): A9 (13777.2 Hz, +16¢)
  • Baroque pitch (A4 = 415 Hz): A♯9 (14069.7 Hz, -20¢)
Position in π

The digit sequence 13907 first appears in π at position 101,574 of the decimal expansion (the 101,574ordinal-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.