13,816
13,816 is a composite number, even.
13,816 (thirteen thousand eight hundred sixteen) is an even 5-digit number. It is a composite number with 16 divisors, and factors as 2³ × 11 × 157. Its proper divisors sum to 14,624, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x35F8.
Interestingness
Properties
- Parity
- Even
- Digit count
- 5
- Digit sum
- 19
- Digit product
- 144
- Digital root
- 1
- Palindrome
- No
- Bit width
- 14 bits
- Reversed
- 61,831
- Recamán's sequence
- a(21,084) = 13,816
- Square (n²)
- 190,881,856
- Cube (n³)
- 2,637,223,722,496
- Divisor count
- 16
- σ(n) — sum of divisors
- 28,440
- φ(n) — Euler's totient
- 6,240
- Sum of prime factors
- 174
Primality
Prime factorization: 2 3 × 11 × 157
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√13,816 = [117; (1, 1, 5, 1, 1, 8, 1, 6, 4, 2, 1, 1, 1, 18, 1, 25, 5, 1, 5, 5, 5, 1, 5, 25, …)]
Period length 40 — the block in parentheses repeats forever.
Representations
- In words
- thirteen thousand eight hundred sixteen
- Ordinal
- 13816th
- Binary
- 11010111111000
- Octal
- 32770
- Hexadecimal
- 0x35F8
- Base64
- Nfg=
- One's complement
- 51,719 (16-bit)
- Scientific notation
- 1.3816 × 10⁴
- As a duration
- 13,816 s = 3 hours, 50 minutes, 16 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 𒌋𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ιγωιϛʹ
- Mayan (base 20)
- 𝋡·𝋮·𝋪·𝋰
- Chinese
- 一萬三千八百一十六
- Chinese (financial)
- 壹萬參仟捌佰壹拾陸
Digit at this position in famous constants
- π — Pi (π)
- Digit 13,816 = 9
- e — Euler's number (e)
- Digit 13,816 = 9
- φ — Golden ratio (φ)
- Digit 13,816 = 4
- √2 — Pythagoras's (√2)
- Digit 13,816 = 6
- ln 2 — Natural log of 2
- Digit 13,816 = 4
- γ — Euler-Mascheroni (γ)
- Digit 13,816 = 5
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13816, here are decompositions:
- 17 + 13799 = 13816
- 53 + 13763 = 13816
- 59 + 13757 = 13816
- 107 + 13709 = 13816
- 137 + 13679 = 13816
- 167 + 13649 = 13816
- 197 + 13619 = 13816
- 239 + 13577 = 13816
Showing the first eight; more decompositions exist.
UTF-8 encoding: E3 97 B8 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.53.248.
- Address
- 0.0.53.248
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.53.248
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 13,816 Hz is closest to:
- Concert pitch (A4 = 440 Hz): A9 (14080 Hz, -33¢)
- Scientific pitch (C4 = 256 Hz): A9 (13777.2 Hz, +5¢)
- Baroque pitch (A4 = 415 Hz): A♯9 (14069.7 Hz, -31¢)
The digit sequence 13816 first appears in π at position 69,063 of the decimal expansion (the 69,063ordinal-suffix:rd 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
- Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.