4,004
4,004 is a composite number, even.
Properties
- Parity
- Even
- Digit count
- 4
- Digit sum
- 8
- Digit product
- 0
- Digital root
- 8
- Palindrome
- Yes
- Bit width
- 12 bits
- Recamán's sequence
- a(14,383) = 4,004
- Square (n²)
- 16,032,016
- Cube (n³)
- 64,192,192,064
- Divisor count
- 24
- σ(n) — sum of divisors
- 9,408
- φ(n) — Euler's totient
- 1,440
- Sum of prime factors
- 35
Primality
Prime factorization: 2 2 × 7 × 11 × 13
Divisors & multiples
Sums & aliquot sequence
Representations
- In words
- four thousand four
- Ordinal
- 4004th
- Binary
- 111110100100
- Octal
- 7644
- Hexadecimal
- 0xFA4
- Base64
- D6Q=
- One's complement
- 61,531 (16-bit)
Historical numeral systems
- Babylonian (base 60)
- 𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆼𓆼𓆼𓆼𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵δδʹ
- Mayan (base 20)
- 𝋪·𝋠·𝋤
- Chinese
- 四千零四
- Chinese (financial)
- 肆仟零肆
Digit at this position in famous constants
- π — Pi (π)
- Digit 4,004 = 5
- e — Euler's number (e)
- Digit 4,004 = 1
- φ — Golden ratio (φ)
- Digit 4,004 = 8
- √2 — Pythagoras's (√2)
- Digit 4,004 = 3
- ln 2 — Natural log of 2
- Digit 4,004 = 9
- γ — Euler-Mascheroni (γ)
- Digit 4,004 = 3
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 4004, here are decompositions:
- 3 + 4001 = 4004
- 37 + 3967 = 4004
- 61 + 3943 = 4004
- 73 + 3931 = 4004
- 97 + 3907 = 4004
- 127 + 3877 = 4004
- 151 + 3853 = 4004
- 157 + 3847 = 4004
Showing the first eight; more decompositions exist.
UTF-8 encoding: E0 BE A4 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.15.164.
- Address
- 0.0.15.164
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.15.164
Unspecified address (0.0.0.0/8) — "this network" placeholder.
The digit sequence 4004 first appears in π at position 5,092 of the decimal expansion (the 5,092ordinal-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.