13,764
13,764 is a composite number, even.
13,764 (thirteen thousand seven hundred sixty-four) is an even 5-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 31 × 37. Its proper divisors sum to 20,284, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x35C4.
Interestingness
Properties
- Parity
- Even
- Digit count
- 5
- Digit sum
- 21
- Digit product
- 504
- Digital root
- 3
- Palindrome
- No
- Bit width
- 14 bits
- Reversed
- 46,731
- Recamán's sequence
- a(21,188) = 13,764
- Square (n²)
- 189,447,696
- Cube (n³)
- 2,607,558,087,744
- Divisor count
- 24
- σ(n) — sum of divisors
- 34,048
- φ(n) — Euler's totient
- 4,320
- Sum of prime factors
- 75
Primality
Prime factorization: 2 2 × 3 × 31 × 37
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√13,764 = [117; (3, 8, 21, 4, 1, 2, 1, 6, 2, 1, 2, 9, 78, 9, 2, 1, 2, 6, 1, 2, 1, 4, 21, 8, …)]
Period length 26 — the block in parentheses repeats forever.
Representations
- In words
- thirteen thousand seven hundred sixty-four
- Ordinal
- 13764th
- Binary
- 11010111000100
- Octal
- 32704
- Hexadecimal
- 0x35C4
- Base64
- NcQ=
- One's complement
- 51,771 (16-bit)
- Scientific notation
- 1.3764 × 10⁴
- As a duration
- 13,764 s = 3 hours, 49 minutes, 24 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ιγψξδʹ
- Mayan (base 20)
- 𝋡·𝋮·𝋨·𝋤
- Chinese
- 一萬三千七百六十四
- Chinese (financial)
- 壹萬參仟柒佰陸拾肆
Digit at this position in famous constants
- π — Pi (π)
- Digit 13,764 = 7
- e — Euler's number (e)
- Digit 13,764 = 3
- φ — Golden ratio (φ)
- Digit 13,764 = 3
- √2 — Pythagoras's (√2)
- Digit 13,764 = 5
- ln 2 — Natural log of 2
- Digit 13,764 = 2
- γ — Euler-Mascheroni (γ)
- Digit 13,764 = 2
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13764, here are decompositions:
- 5 + 13759 = 13764
- 7 + 13757 = 13764
- 13 + 13751 = 13764
- 41 + 13723 = 13764
- 43 + 13721 = 13764
- 53 + 13711 = 13764
- 67 + 13697 = 13764
- 71 + 13693 = 13764
Showing the first eight; more decompositions exist.
UTF-8 encoding: E3 97 84 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.53.196.
- Address
- 0.0.53.196
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.53.196
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 13,764 Hz is closest to:
- Concert pitch (A4 = 440 Hz): A9 (14080 Hz, -39¢)
- Scientific pitch (C4 = 256 Hz): A9 (13777.2 Hz, -2¢)
- Baroque pitch (A4 = 415 Hz): A♯9 (14069.7 Hz, -38¢)
The digit sequence 13764 first appears in π at position 44,442 of the decimal expansion (the 44,442ordinal-suffix:nd 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°.