4,404
4,404 is a composite number, even.
4,404 (four thousand four hundred four) is an even 4-digit number. It is a composite number with 12 divisors, and factors as 2² × 3 × 367. Its proper divisors sum to 5,900, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1134.
Interestingness
Properties
- Parity
- Even
- Digit count
- 4
- Digit sum
- 12
- Digit product
- 0
- Digital root
- 3
- Palindrome
- No
- Bit width
- 13 bits
- Reversed
- 4,044
- Recamán's sequence
- a(13,899) = 4,404
- Square (n²)
- 19,395,216
- Cube (n³)
- 85,416,531,264
- Divisor count
- 12
- σ(n) — sum of divisors
- 10,304
- φ(n) — Euler's totient
- 1,464
- Sum of prime factors
- 374
Primality
Prime factorization: 2 2 × 3 × 367
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√4,404 = [66; (2, 1, 3, 8, 44, 8, 3, 1, 2, 132)]
Period length 10 — the block in parentheses repeats forever.
Representations
- In words
- four thousand four hundred four
- Ordinal
- 4404th
- Binary
- 1000100110100
- Octal
- 10464
- Hexadecimal
- 0x1134
- Base64
- ETQ=
- One's complement
- 61,131 (16-bit)
- Scientific notation
- 4.404 × 10³
- As a duration
- 4,404 s = 1 hour, 13 minutes, 24 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹 𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵δυδʹ
- Mayan (base 20)
- 𝋫·𝋠·𝋤
- Chinese
- 四千四百零四
- Chinese (financial)
- 肆仟肆佰零肆
Digit at this position in famous constants
- π — Pi (π)
- Digit 4,404 = 9
- e — Euler's number (e)
- Digit 4,404 = 1
- φ — Golden ratio (φ)
- Digit 4,404 = 1
- √2 — Pythagoras's (√2)
- Digit 4,404 = 0
- ln 2 — Natural log of 2
- Digit 4,404 = 1
- γ — Euler-Mascheroni (γ)
- Digit 4,404 = 8
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 4404, here are decompositions:
- 7 + 4397 = 4404
- 13 + 4391 = 4404
- 31 + 4373 = 4404
- 41 + 4363 = 4404
- 47 + 4357 = 4404
- 67 + 4337 = 4404
- 107 + 4297 = 4404
- 131 + 4273 = 4404
Showing the first eight; more decompositions exist.
UTF-8 encoding: E1 84 B4 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.17.52.
- Address
- 0.0.17.52
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.17.52
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 4,404 Hz is closest to:
- Concert pitch (A4 = 440 Hz): C♯8 (4434.9 Hz, -12¢)
- Scientific pitch (C4 = 256 Hz): C♯8 (4339.6 Hz, +26¢)
- Baroque pitch (A4 = 415 Hz): D8 (4431.7 Hz, -11¢)
The digit sequence 4404 first appears in π at position 10,807 of the decimal expansion (the 10,807ordinal-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°.