13,968
13,968 is a composite number, even.
13,968 (thirteen thousand nine hundred sixty-eight) is an even 5-digit number. It is a composite number with 30 divisors, and factors as 2⁴ × 3² × 97. Its proper divisors sum to 25,526, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x3690.
Interestingness
Properties
- Parity
- Even
- Digit count
- 5
- Digit sum
- 27
- Digit product
- 1,296
- Digital root
- 9
- Palindrome
- No
- Bit width
- 14 bits
- Reversed
- 86,931
- Recamán's sequence
- a(20,780) = 13,968
- Square (n²)
- 195,105,024
- Cube (n³)
- 2,725,226,975,232
- Divisor count
- 30
- σ(n) — sum of divisors
- 39,494
- φ(n) — Euler's totient
- 4,608
- Sum of prime factors
- 111
Primality
Prime factorization: 2 4 × 3 2 × 97
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√13,968 = [118; (5, 2, 1, 2, 1, 1, 4, 2, 4, 1, 1, 2, 1, 2, 5, 236)]
Period length 16 — the block in parentheses repeats forever.
Representations
- In words
- thirteen thousand nine hundred sixty-eight
- Ordinal
- 13968th
- Binary
- 11011010010000
- Octal
- 33220
- Hexadecimal
- 0x3690
- Base64
- NpA=
- One's complement
- 51,567 (16-bit)
- Scientific notation
- 1.3968 × 10⁴
- As a duration
- 13,968 s = 3 hours, 52 minutes, 48 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ιγϡξηʹ
- Mayan (base 20)
- 𝋡·𝋮·𝋲·𝋨
- Chinese
- 一萬三千九百六十八
- Chinese (financial)
- 壹萬參仟玖佰陸拾捌
Digit at this position in famous constants
- π — Pi (π)
- Digit 13,968 = 7
- e — Euler's number (e)
- Digit 13,968 = 7
- φ — Golden ratio (φ)
- Digit 13,968 = 8
- √2 — Pythagoras's (√2)
- Digit 13,968 = 2
- ln 2 — Natural log of 2
- Digit 13,968 = 0
- γ — Euler-Mascheroni (γ)
- Digit 13,968 = 0
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13968, here are decompositions:
- 5 + 13963 = 13968
- 37 + 13931 = 13968
- 47 + 13921 = 13968
- 61 + 13907 = 13968
- 67 + 13901 = 13968
- 89 + 13879 = 13968
- 109 + 13859 = 13968
- 127 + 13841 = 13968
Showing the first eight; more decompositions exist.
UTF-8 encoding: E3 9A 90 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.54.144.
- Address
- 0.0.54.144
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.54.144
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 13,968 Hz is closest to:
- Concert pitch (A4 = 440 Hz): A9 (14080 Hz, -14¢)
- Scientific pitch (C4 = 256 Hz): A9 (13777.2 Hz, +24¢)
- Baroque pitch (A4 = 415 Hz): A♯9 (14069.7 Hz, -13¢)
The digit sequence 13968 first appears in π at position 517,836 of the decimal expansion (the 517,836ordinal-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°.