13,504
13,504 is a composite number, even.
13,504 (thirteen thousand five hundred four) is an even 5-digit number. It is a composite number with 14 divisors, and factors as 2⁶ × 211. Written other ways, in hexadecimal, 0x34C0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 5
- Digit sum
- 13
- Digit product
- 0
- Digital root
- 4
- Palindrome
- No
- Bit width
- 14 bits
- Reversed
- 40,531
- Recamán's sequence
- a(47,267) = 13,504
- Square (n²)
- 182,358,016
- Cube (n³)
- 2,462,562,648,064
- Divisor count
- 14
- σ(n) — sum of divisors
- 26,924
- φ(n) — Euler's totient
- 6,720
- Sum of prime factors
- 223
Primality
Prime factorization: 2 6 × 211
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√13,504 = [116; (4, 1, 5, 6, 3, 1, 1, 8, 1, 2, 1, 2, 7, 1, 14, 1, 1, 1, 1, 2, 3, 3, 3, 1, …)]
Representations
- In words
- thirteen thousand five hundred four
- Ordinal
- 13504th
- Binary
- 11010011000000
- Octal
- 32300
- Hexadecimal
- 0x34C0
- Base64
- NMA=
- One's complement
- 52,031 (16-bit)
- Scientific notation
- 1.3504 × 10⁴
- As a duration
- 13,504 s = 3 hours, 45 minutes, 4 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ιγφδʹ
- Mayan (base 20)
- 𝋡·𝋭·𝋯·𝋤
- Chinese
- 一萬三千五百零四
- Chinese (financial)
- 壹萬參仟伍佰零肆
Digit at this position in famous constants
- π — Pi (π)
- Digit 13,504 = 2
- e — Euler's number (e)
- Digit 13,504 = 2
- φ — Golden ratio (φ)
- Digit 13,504 = 1
- √2 — Pythagoras's (√2)
- Digit 13,504 = 9
- ln 2 — Natural log of 2
- Digit 13,504 = 2
- γ — Euler-Mascheroni (γ)
- Digit 13,504 = 1
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13504, here are decompositions:
- 5 + 13499 = 13504
- 17 + 13487 = 13504
- 41 + 13463 = 13504
- 47 + 13457 = 13504
- 53 + 13451 = 13504
- 83 + 13421 = 13504
- 107 + 13397 = 13504
- 137 + 13367 = 13504
Showing the first eight; more decompositions exist.
UTF-8 encoding: E3 93 80 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.52.192.
- Address
- 0.0.52.192
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.52.192
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 13,504 Hz is closest to:
- Concert pitch (A4 = 440 Hz): G♯9 (13289.8 Hz, +28¢)
- Scientific pitch (C4 = 256 Hz): A9 (13777.2 Hz, -35¢)
- Baroque pitch (A4 = 415 Hz): A9 (13280 Hz, +29¢)
The digit sequence 13504 first appears in π at position 152,116 of the decimal expansion (the 152,116ordinal-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.