4,044
4,044 is a composite number, even.
4,044 (four thousand forty-four) is an even 4-digit number. It is a composite number with 12 divisors, and factors as 2² × 3 × 337. Its proper divisors sum to 5,420, more than the number itself, making it an abundant number. Written other ways, in binary, 111111001100.
Interestingness
Properties
- Parity
- Even
- Digit count
- 4
- Digit sum
- 12
- Digit product
- 0
- Digital root
- 3
- Palindrome
- No
- Bit width
- 12 bits
- Reversed
- 4,404
- Recamán's sequence
- a(14,303) = 4,044
- Square (n²)
- 16,353,936
- Cube (n³)
- 66,135,317,184
- Divisor count
- 12
- σ(n) — sum of divisors
- 9,464
- φ(n) — Euler's totient
- 1,344
- Sum of prime factors
- 344
Primality
Prime factorization: 2 2 × 3 × 337
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√4,044 = [63; (1, 1, 2, 4, 1, 8, 1, 30, 1, 8, 1, 4, 2, 1, 1, 126)]
Period length 16 — the block in parentheses repeats forever.
Representations
- In words
- four thousand forty-four
- Ordinal
- 4044th
- Binary
- 111111001100
- Octal
- 7714
- Hexadecimal
- 0xFCC
- Base64
- D8w=
- One's complement
- 61,491 (16-bit)
- Scientific notation
- 4.044 × 10³
- As a duration
- 4,044 s = 1 hour, 7 minutes, 24 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵δμδʹ
- Mayan (base 20)
- 𝋪·𝋢·𝋤
- Chinese
- 四千零四十四
- Chinese (financial)
- 肆仟零肆拾肆
Digit at this position in famous constants
- π — Pi (π)
- Digit 4,044 = 9
- e — Euler's number (e)
- Digit 4,044 = 9
- φ — Golden ratio (φ)
- Digit 4,044 = 4
- √2 — Pythagoras's (√2)
- Digit 4,044 = 1
- ln 2 — Natural log of 2
- Digit 4,044 = 1
- γ — Euler-Mascheroni (γ)
- Digit 4,044 = 2
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 4044, here are decompositions:
- 17 + 4027 = 4044
- 23 + 4021 = 4044
- 31 + 4013 = 4044
- 37 + 4007 = 4044
- 41 + 4003 = 4044
- 43 + 4001 = 4044
- 97 + 3947 = 4044
- 101 + 3943 = 4044
Showing the first eight; more decompositions exist.
UTF-8 encoding: E0 BF 8C (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.15.204.
- Address
- 0.0.15.204
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.15.204
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 4,044 Hz is closest to:
- Concert pitch (A4 = 440 Hz): B7 (3951.1 Hz, +40¢)
- Scientific pitch (C4 = 256 Hz): C8 (4096 Hz, -22¢)
- Baroque pitch (A4 = 415 Hz): C8 (3948.2 Hz, +42¢)
The digit sequence 4044 first appears in π at position 7,641 of the decimal expansion (the 7,641ordinal-suffix:st 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°.