13,972
13,972 is a composite number, even.
13,972 (thirteen thousand nine hundred seventy-two) is an even 5-digit number. It is a composite number with 12 divisors, and factors as 2² × 7 × 499. Its proper divisors sum to 14,028, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x3694.
Interestingness
Properties
- Parity
- Even
- Digit count
- 5
- Digit sum
- 22
- Digit product
- 378
- Digital root
- 4
- Palindrome
- No
- Bit width
- 14 bits
- Reversed
- 27,931
- Recamán's sequence
- a(20,772) = 13,972
- Square (n²)
- 195,216,784
- Cube (n³)
- 2,727,568,906,048
- Divisor count
- 12
- σ(n) — sum of divisors
- 28,000
- φ(n) — Euler's totient
- 5,976
- Sum of prime factors
- 510
Primality
Prime factorization: 2 2 × 7 × 499
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√13,972 = [118; (4, 1, 11, 1, 1, 1, 3, 1, 7, 1, 32, 1, 7, 1, 3, 1, 1, 1, 11, 1, 4, 236)]
Period length 22 — the block in parentheses repeats forever.
Representations
- In words
- thirteen thousand nine hundred seventy-two
- Ordinal
- 13972nd
- Binary
- 11011010010100
- Octal
- 33224
- Hexadecimal
- 0x3694
- Base64
- NpQ=
- One's complement
- 51,563 (16-bit)
- Scientific notation
- 1.3972 × 10⁴
- As a duration
- 13,972 s = 3 hours, 52 minutes, 52 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
- Greek (Milesian)
- ͵ιγϡοβʹ
- Mayan (base 20)
- 𝋡·𝋮·𝋲·𝋬
- Chinese
- 一萬三千九百七十二
- Chinese (financial)
- 壹萬參仟玖佰柒拾貳
Digit at this position in famous constants
- π — Pi (π)
- Digit 13,972 = 4
- e — Euler's number (e)
- Digit 13,972 = 7
- φ — Golden ratio (φ)
- Digit 13,972 = 0
- √2 — Pythagoras's (√2)
- Digit 13,972 = 7
- ln 2 — Natural log of 2
- Digit 13,972 = 7
- γ — Euler-Mascheroni (γ)
- Digit 13,972 = 9
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13972, here are decompositions:
- 5 + 13967 = 13972
- 41 + 13931 = 13972
- 59 + 13913 = 13972
- 71 + 13901 = 13972
- 89 + 13883 = 13972
- 113 + 13859 = 13972
- 131 + 13841 = 13972
- 173 + 13799 = 13972
Showing the first eight; more decompositions exist.
UTF-8 encoding: E3 9A 94 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.54.148.
- Address
- 0.0.54.148
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.54.148
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 13,972 Hz is closest to:
- Concert pitch (A4 = 440 Hz): A9 (14080 Hz, -13¢)
- Scientific pitch (C4 = 256 Hz): A9 (13777.2 Hz, +24¢)
- Baroque pitch (A4 = 415 Hz): A♯9 (14069.7 Hz, -12¢)
The digit sequence 13972 first appears in π at position 28,038 of the decimal expansion (the 28,038ordinal-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
- Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.