13,806
13,806 is a composite number, even.
13,806 (thirteen thousand eight hundred six) is an even 5-digit number. It is a composite number with 24 divisors, and factors as 2 × 3² × 13 × 59. Its proper divisors sum to 18,954, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x35EE.
Interestingness
Properties
- Parity
- Even
- Digit count
- 5
- Digit sum
- 18
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 14 bits
- Reversed
- 60,831
- Recamán's sequence
- a(21,104) = 13,806
- Square (n²)
- 190,605,636
- Cube (n³)
- 2,631,501,410,616
- Divisor count
- 24
- σ(n) — sum of divisors
- 32,760
- φ(n) — Euler's totient
- 4,176
- Sum of prime factors
- 80
Primality
Prime factorization: 2 × 3 2 × 13 × 59
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√13,806 = [117; (2, 234)]
Period length 2 — the block in parentheses repeats forever.
Representations
- In words
- thirteen thousand eight hundred six
- Ordinal
- 13806th
- Binary
- 11010111101110
- Octal
- 32756
- Hexadecimal
- 0x35EE
- Base64
- Ne4=
- One's complement
- 51,729 (16-bit)
- Scientific notation
- 1.3806 × 10⁴
- As a duration
- 13,806 s = 3 hours, 50 minutes, 6 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ιγωϛʹ
- Mayan (base 20)
- 𝋡·𝋮·𝋪·𝋦
- Chinese
- 一萬三千八百零六
- Chinese (financial)
- 壹萬參仟捌佰零陸
Digit at this position in famous constants
- π — Pi (π)
- Digit 13,806 = 7
- e — Euler's number (e)
- Digit 13,806 = 8
- φ — Golden ratio (φ)
- Digit 13,806 = 9
- √2 — Pythagoras's (√2)
- Digit 13,806 = 8
- ln 2 — Natural log of 2
- Digit 13,806 = 7
- γ — Euler-Mascheroni (γ)
- Digit 13,806 = 1
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13806, here are decompositions:
- 7 + 13799 = 13806
- 17 + 13789 = 13806
- 43 + 13763 = 13806
- 47 + 13759 = 13806
- 83 + 13723 = 13806
- 97 + 13709 = 13806
- 109 + 13697 = 13806
- 113 + 13693 = 13806
Showing the first eight; more decompositions exist.
UTF-8 encoding: E3 97 AE (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.53.238.
- Address
- 0.0.53.238
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.53.238
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 13,806 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¢)
The digit sequence 13806 first appears in π at position 12,467 of the decimal expansion (the 12,467ordinal-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
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.