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Number

13,807

13,807 is a prime, odd.

13,807 (thirteen thousand eight hundred seven) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x35EF.

Arithmetic Number Chen Prime Cube-Free Deficient Number Odious Number Pernicious Number Prime Recamán's Sequence Squarefree

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
19
Digit product
0
Digital root
1
Palindrome
No
Bit width
14 bits
Reversed
70,831
Recamán's sequence
a(21,102) = 13,807
Square (n²)
190,633,249
Cube (n³)
2,632,073,268,943
Divisor count
2
σ(n) — sum of divisors
13,808
φ(n) — Euler's totient
13,806

Primality

13,807 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 13807
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 13,807)
1 × 13807
First multiples
13,807 · 27,614 (double) · 41,421 · 55,228 · 69,035 · 82,842 · 96,649 · 110,456 · 124,263 · 138,070

Sums & aliquot sequence

As consecutive integers: 6,903 + 6,904

Continued fraction of √n

√13,807 = [117; (1, 1, 77, 1, 5, 25, 1, 17, 8, 1, 1, 1, 5, 2, 1, 2, 4, 1, 1, 1, 2, 5, 2, 1, …)]

Representations

In words
thirteen thousand eight hundred seven
Ordinal
13807th
Binary
11010111101111
Octal
32757
Hexadecimal
0x35EF
Base64
Ne8=
One's complement
51,728 (16-bit)
Scientific notation
1.3807 × 10⁴
As a duration
13,807 s = 3 hours, 50 minutes, 7 seconds
In other bases
ternary (3) 200221101
quaternary (4) 3113233
quinary (5) 420212
senary (6) 143531
septenary (7) 55153
nonary (9) 20841
undecimal (11) a412
duodecimal (12) 7ba7
tridecimal (13) 6391
tetradecimal (14) 5063
pentadecimal (15) 4157

As an angle

13,807° = 38 × 360° + 127°
127° ≈ 2.217 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιγωζʹ
Mayan (base 20)
𝋡·𝋮·𝋪·𝋧
Chinese
一萬三千八百零七
Chinese (financial)
壹萬參仟捌佰零柒
In other modern scripts
Eastern Arabic ١٣٨٠٧ Devanagari १३८०७ Bengali ১৩৮০৭ Tamil ௧௩௮௦௭ Thai ๑๓๘๐๗ Tibetan ༡༣༨༠༧ Khmer ១៣៨០៧ Lao ໑໓໘໐໗ Burmese ၁၃၈၀၇

Digit at this position in famous constants

π — Pi (π)
Digit 13,807 = 4
e — Euler's number (e)
Digit 13,807 = 7
φ — Golden ratio (φ)
Digit 13,807 = 6
√2 — Pythagoras's (√2)
Digit 13,807 = 1
ln 2 — Natural log of 2
Digit 13,807 = 6
γ — Euler-Mascheroni (γ)
Digit 13,807 = 8

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 13,799 (gap of 8)
  • Next prime: 13,829 (gap of 22)
Unicode codepoint
CJK Unified Ideograph-35Ef
U+35EF
Other letter (Lo)

UTF-8 encoding: E3 97 AF (3 bytes).

Hex color
#0035EF
RGB(0, 53, 239)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.53.239.

Address
0.0.53.239
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.53.239

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

Musical pitch

Heard as a frequency, 13,807 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): A9 (14080 Hz, -34¢)
  • Scientific pitch (C4 = 256 Hz): A9 (13777.2 Hz, +4¢)
  • Baroque pitch (A4 = 415 Hz): A♯9 (14069.7 Hz, -33¢)
Position in π

The digit sequence 13807 first appears in π at position 95,954 of the decimal expansion (the 95,954ordinal-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.