12,404
12,404 is a composite number, even.
12,404 (twelve thousand four hundred four) is an even 5-digit number. It is a composite number with 12 divisors, and factors as 2² × 7 × 443. Its proper divisors sum to 12,460, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x3074.
Interestingness
Properties
- Parity
- Even
- Digit count
- 5
- Digit sum
- 11
- Digit product
- 0
- Digital root
- 2
- Palindrome
- No
- Bit width
- 14 bits
- Reversed
- 40,421
- Recamán's sequence
- a(21,976) = 12,404
- Square (n²)
- 153,859,216
- Cube (n³)
- 1,908,469,715,264
- Divisor count
- 12
- σ(n) — sum of divisors
- 24,864
- φ(n) — Euler's totient
- 5,304
- Sum of prime factors
- 454
Primality
Prime factorization: 2 2 × 7 × 443
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√12,404 = [111; (2, 1, 2, 8, 1, 1, 6, 1, 1, 1, 11, 13, 1, 5, 10, 1, 30, 1, 10, 5, 1, 13, 11, 1, …)]
Period length 34 — the block in parentheses repeats forever.
Representations
- In words
- twelve thousand four hundred four
- Ordinal
- 12404th
- Binary
- 11000001110100
- Octal
- 30164
- Hexadecimal
- 0x3074
- Base64
- MHQ=
- One's complement
- 53,131 (16-bit)
- Scientific notation
- 1.2404 × 10⁴
- As a duration
- 12,404 s = 3 hours, 26 minutes, 44 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ιβυδʹ
- Mayan (base 20)
- 𝋡·𝋫·𝋠·𝋤
- Chinese
- 一萬二千四百零四
- Chinese (financial)
- 壹萬貳仟肆佰零肆
Digit at this position in famous constants
- π — Pi (π)
- Digit 12,404 = 4
- e — Euler's number (e)
- Digit 12,404 = 6
- φ — Golden ratio (φ)
- Digit 12,404 = 8
- √2 — Pythagoras's (√2)
- Digit 12,404 = 3
- ln 2 — Natural log of 2
- Digit 12,404 = 3
- γ — Euler-Mascheroni (γ)
- Digit 12,404 = 2
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 12404, here are decompositions:
- 3 + 12401 = 12404
- 13 + 12391 = 12404
- 31 + 12373 = 12404
- 61 + 12343 = 12404
- 103 + 12301 = 12404
- 127 + 12277 = 12404
- 151 + 12253 = 12404
- 163 + 12241 = 12404
Showing the first eight; more decompositions exist.
UTF-8 encoding: E3 81 B4 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.48.116.
- Address
- 0.0.48.116
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.48.116
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 12,404 Hz is closest to:
- Concert pitch (A4 = 440 Hz): G9 (12543.9 Hz, -19¢)
- Scientific pitch (C4 = 256 Hz): G9 (12274.1 Hz, +18¢)
- Baroque pitch (A4 = 415 Hz): G♯9 (12534.7 Hz, -18¢)
The digit sequence 12404 first appears in π at position 35,065 of the decimal expansion (the 35,065ordinal-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
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.