5,504
5,504 is a composite number, even.
5,504 (five thousand five hundred four) is an even 4-digit number. It is a composite number with 16 divisors, and factors as 2⁷ × 43. Its proper divisors sum to 5,716, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1580.
Interestingness
Properties
- Parity
- Even
- Digit count
- 4
- Digit sum
- 14
- Digit product
- 0
- Digital root
- 5
- Palindrome
- No
- Bit width
- 13 bits
- Reversed
- 4,055
- Recamán's sequence
- a(2,752) = 5,504
- Square (n²)
- 30,294,016
- Cube (n³)
- 166,738,264,064
- Divisor count
- 16
- σ(n) — sum of divisors
- 11,220
- φ(n) — Euler's totient
- 2,688
- Sum of prime factors
- 57
Primality
Prime factorization: 2 7 × 43
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√5,504 = [74; (5, 3, 2, 2, 1, 1, 2, 8, 1, 7, 1, 5, 21, 37, 21, 5, 1, 7, 1, 8, 2, 1, 1, 2, …)]
Period length 28 — the block in parentheses repeats forever.
Representations
- In words
- five thousand five hundred four
- Ordinal
- 5504th
- Binary
- 1010110000000
- Octal
- 12600
- Hexadecimal
- 0x1580
- Base64
- FYA=
- One's complement
- 60,031 (16-bit)
- Scientific notation
- 5.504 × 10³
- As a duration
- 5,504 s = 1 hour, 31 minutes, 44 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹 𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵εφδʹ
- Mayan (base 20)
- 𝋭·𝋯·𝋤
- Chinese
- 五千五百零四
- Chinese (financial)
- 伍仟伍佰零肆
Digit at this position in famous constants
- π — Pi (π)
- Digit 5,504 = 5
- e — Euler's number (e)
- Digit 5,504 = 2
- φ — Golden ratio (φ)
- Digit 5,504 = 5
- √2 — Pythagoras's (√2)
- Digit 5,504 = 3
- ln 2 — Natural log of 2
- Digit 5,504 = 8
- γ — Euler-Mascheroni (γ)
- Digit 5,504 = 1
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 5504, here are decompositions:
- 3 + 5501 = 5504
- 61 + 5443 = 5504
- 67 + 5437 = 5504
- 73 + 5431 = 5504
- 97 + 5407 = 5504
- 157 + 5347 = 5504
- 181 + 5323 = 5504
- 223 + 5281 = 5504
Showing the first eight; more decompositions exist.
UTF-8 encoding: E1 96 80 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.21.128.
- Address
- 0.0.21.128
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.21.128
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 5,504 Hz is closest to:
- Concert pitch (A4 = 440 Hz): F8 (5587.7 Hz, -26¢)
- Scientific pitch (C4 = 256 Hz): F8 (5467.5 Hz, +12¢)
- Baroque pitch (A4 = 415 Hz): F♯8 (5583.6 Hz, -25¢)
The digit sequence 5504 first appears in π at position 8,378 of the decimal expansion (the 8,378ordinal-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
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.