117,504
117,504 is a composite number, even.
117,504 (one hundred seventeen thousand five hundred four) is an even 6-digit number. It is a composite number with 72 divisors, and factors as 2⁸ × 3³ × 17. Its proper divisors sum to 250,416, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1CB00.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 18
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 405,711
- Square (n²)
- 13,807,190,016
- Cube (n³)
- 1,622,400,055,640,064
- Divisor count
- 72
- σ(n) — sum of divisors
- 367,920
- φ(n) — Euler's totient
- 36,864
- Sum of prime factors
- 42
Primality
Prime factorization: 2 8 × 3 3 × 17
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√117,504 = [342; (1, 3, 1, 2, 1, 2, 3, 4, 2, 6, 2, 2, 4, 1, 2, 18, 1, 2, 4, 1, 2, 1, 5, 42, …)]
Representations
- In words
- one hundred seventeen thousand five hundred four
- Ordinal
- 117504th
- Binary
- 11100101100000000
- Octal
- 345400
- Hexadecimal
- 0x1CB00
- Base64
- AcsA
- One's complement
- 4,294,849,791 (32-bit)
- Scientific notation
- 1.17504 × 10⁵
- As a duration
- 117,504 s = 1 day, 8 hours, 38 minutes, 24 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ριζφδʹ
- Mayan (base 20)
- 𝋮·𝋭·𝋯·𝋤
- Chinese
- 一十一萬七千五百零四
- Chinese (financial)
- 壹拾壹萬柒仟伍佰零肆
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 117504, here are decompositions:
- 5 + 117499 = 117504
- 7 + 117497 = 117504
- 61 + 117443 = 117504
- 67 + 117437 = 117504
- 73 + 117431 = 117504
- 131 + 117373 = 117504
- 151 + 117353 = 117504
- 173 + 117331 = 117504
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.203.0.
- Address
- 0.1.203.0
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.203.0
Unspecified address (0.0.0.0/8) — "this network" placeholder.
This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 117,504 and was likely granted around 1871.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 117504 first appears in π at position 195,811 of the decimal expansion (the 195,811ordinal-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°.