10,404
10,404 is a composite number, even.
10,404 (ten thousand four hundred four) is an even 5-digit number. It is a composite number with 27 divisors, and factors as 2² × 3² × 17². Its proper divisors sum to 17,533, more than the number itself, making it an abundant number. It is a perfect square (102²). Written other ways, in hexadecimal, 0x28A4.
Interestingness
Properties
- Parity
- Even
- Digit count
- 5
- Digit sum
- 9
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 14 bits
- Reversed
- 40,401
- Recamán's sequence
- a(50,711) = 10,404
- Square (n²)
- 108,243,216
- Cube (n³)
- 1,126,162,419,264
- Square root (√n)
- 102
- Divisor count
- 27
- σ(n) — sum of divisors
- 27,937
- φ(n) — Euler's totient
- 3,264
- Sum of prime factors
- 44
Primality
Prime factorization: 2 2 × 3 2 × 17 2
Divisors & multiples
Sums & aliquot sequence
Representations
- In words
- ten thousand four hundred four
- Ordinal
- 10404th
- Binary
- 10100010100100
- Octal
- 24244
- Hexadecimal
- 0x28A4
- Base64
- KKQ=
- One's complement
- 55,131 (16-bit)
- Scientific notation
- 1.0404 × 10⁴
- As a duration
- 10,404 s = 2 hours, 53 minutes, 24 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓂍𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ιυδʹ
- Mayan (base 20)
- 𝋡·𝋦·𝋠·𝋤
- Chinese
- 一萬零四百零四
- Chinese (financial)
- 壹萬零肆佰零肆
Digit at this position in famous constants
- π — Pi (π)
- Digit 10,404 = 6
- e — Euler's number (e)
- Digit 10,404 = 8
- φ — Golden ratio (φ)
- Digit 10,404 = 3
- √2 — Pythagoras's (√2)
- Digit 10,404 = 3
- ln 2 — Natural log of 2
- Digit 10,404 = 2
- γ — Euler-Mascheroni (γ)
- Digit 10,404 = 7
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 10404, here are decompositions:
- 5 + 10399 = 10404
- 13 + 10391 = 10404
- 47 + 10357 = 10404
- 61 + 10343 = 10404
- 67 + 10337 = 10404
- 71 + 10333 = 10404
- 73 + 10331 = 10404
- 83 + 10321 = 10404
Showing the first eight; more decompositions exist.
UTF-8 encoding: E2 A2 A4 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.40.164.
- Address
- 0.0.40.164
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.40.164
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 10,404 Hz is closest to:
- Concert pitch (A4 = 440 Hz): E9 (10548.1 Hz, -24¢)
- Scientific pitch (C4 = 256 Hz): E9 (10321.3 Hz, +14¢)
- Baroque pitch (A4 = 415 Hz): F9 (10540.3 Hz, -23¢)
The digit sequence 10404 first appears in π at position 1,270 of the decimal expansion (the 1,270ordinal-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
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.