2,404
2,404 is a composite number, even.
2,404 (two thousand four hundred four) is an even 4-digit number. It is a composite number with 6 divisors, and factors as 2² × 601. Written other ways, in Roman numerals it is MMCDIV and in binary, 100101100100.
Interestingness
Properties
- Parity
- Even
- Digit count
- 4
- Digit sum
- 10
- Digit product
- 0
- Digital root
- 1
- Palindrome
- No
- Bit width
- 12 bits
- Reversed
- 4,042
- Recamán's sequence
- a(98,664) = 2,404
- Square (n²)
- 5,779,216
- Cube (n³)
- 13,893,235,264
- Divisor count
- 6
- σ(n) — sum of divisors
- 4,214
- φ(n) — Euler's totient
- 1,200
- Sum of prime factors
- 605
Primality
Prime factorization: 2 2 × 601
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√2,404 = [49; (32, 1, 2, 10, 1, 1, 3, 1, 2, 1, 5, 1, 4, 19, 2, 2, 6, 7, 2, 1, 1, 2, 2, 7, …)]
Period length 54 — the block in parentheses repeats forever.
Representations
- In words
- two thousand four hundred four
- Ordinal
- 2404th
- Roman numeral
- MMCDIV
- Binary
- 100101100100
- Octal
- 4544
- Hexadecimal
- 0x964
- Base64
- CWQ=
- One's complement
- 63,131 (16-bit)
- Scientific notation
- 2.404 × 10³
- As a duration
- 2,404 s = 40 minutes, 4 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒌋 𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆼𓆼𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵βυδʹ
- Mayan (base 20)
- 𝋦·𝋠·𝋤
- Chinese
- 二千四百零四
- Chinese (financial)
- 貳仟肆佰零肆
Digit at this position in famous constants
- π — Pi (π)
- Digit 2,404 = 6
- e — Euler's number (e)
- Digit 2,404 = 6
- φ — Golden ratio (φ)
- Digit 2,404 = 8
- √2 — Pythagoras's (√2)
- Digit 2,404 = 9
- ln 2 — Natural log of 2
- Digit 2,404 = 8
- γ — Euler-Mascheroni (γ)
- Digit 2,404 = 2
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 2404, here are decompositions:
- 5 + 2399 = 2404
- 11 + 2393 = 2404
- 23 + 2381 = 2404
- 47 + 2357 = 2404
- 53 + 2351 = 2404
- 71 + 2333 = 2404
- 107 + 2297 = 2404
- 131 + 2273 = 2404
Showing the first eight; more decompositions exist.
UTF-8 encoding: E0 A5 A4 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.9.100.
- Address
- 0.0.9.100
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.9.100
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 2,404 Hz is closest to:
- Concert pitch (A4 = 440 Hz): D7 (2349.3 Hz, +40¢)
- Scientific pitch (C4 = 256 Hz): D♯7 (2435.5 Hz, -23¢)
- Baroque pitch (A4 = 415 Hz): D♯7 (2347.6 Hz, +41¢)
The digit sequence 2404 first appears in π at position 19,622 of the decimal expansion (the 19,622ordinal-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
- Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.