13,404
13,404 is a composite number, even.
13,404 (thirteen thousand four hundred four) is an even 5-digit number. It is a composite number with 12 divisors, and factors as 2² × 3 × 1,117. Its proper divisors sum to 17,900, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x345C.
Interestingness
Properties
- Parity
- Even
- Digit count
- 5
- Digit sum
- 12
- Digit product
- 0
- Digital root
- 3
- Palindrome
- No
- Bit width
- 14 bits
- Reversed
- 40,431
- Recamán's sequence
- a(47,467) = 13,404
- Square (n²)
- 179,667,216
- Cube (n³)
- 2,408,259,363,264
- Divisor count
- 12
- σ(n) — sum of divisors
- 31,304
- φ(n) — Euler's totient
- 4,464
- Sum of prime factors
- 1,124
Primality
Prime factorization: 2 2 × 3 × 1117
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√13,404 = [115; (1, 3, 2, 5, 2, 1, 9, 2, 1, 1, 1, 1, 1, 3, 5, 1, 1, 1, 18, 1, 1, 1, 5, 3, …)]
Period length 38 — the block in parentheses repeats forever.
Representations
- In words
- thirteen thousand four hundred four
- Ordinal
- 13404th
- Binary
- 11010001011100
- Octal
- 32134
- Hexadecimal
- 0x345C
- Base64
- NFw=
- One's complement
- 52,131 (16-bit)
- Scientific notation
- 1.3404 × 10⁴
- As a duration
- 13,404 s = 3 hours, 43 minutes, 24 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ιγυδʹ
- Mayan (base 20)
- 𝋡·𝋭·𝋪·𝋤
- Chinese
- 一萬三千四百零四
- Chinese (financial)
- 壹萬參仟肆佰零肆
Digit at this position in famous constants
- π — Pi (π)
- Digit 13,404 = 2
- e — Euler's number (e)
- Digit 13,404 = 9
- φ — Golden ratio (φ)
- Digit 13,404 = 1
- √2 — Pythagoras's (√2)
- Digit 13,404 = 2
- ln 2 — Natural log of 2
- Digit 13,404 = 6
- γ — Euler-Mascheroni (γ)
- Digit 13,404 = 7
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13404, here are decompositions:
- 5 + 13399 = 13404
- 7 + 13397 = 13404
- 23 + 13381 = 13404
- 37 + 13367 = 13404
- 67 + 13337 = 13404
- 73 + 13331 = 13404
- 107 + 13297 = 13404
- 113 + 13291 = 13404
Showing the first eight; more decompositions exist.
UTF-8 encoding: E3 91 9C (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.52.92.
- Address
- 0.0.52.92
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.52.92
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 13,404 Hz is closest to:
- Concert pitch (A4 = 440 Hz): G♯9 (13289.8 Hz, +15¢)
- Scientific pitch (C4 = 256 Hz): A9 (13777.2 Hz, -48¢ — about midway to G♯9)
- Baroque pitch (A4 = 415 Hz): A9 (13280 Hz, +16¢)
The digit sequence 13404 first appears in π at position 58,752 of the decimal expansion (the 58,752ordinal-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°.