117,312
117,312 is a composite number, even.
117,312 (one hundred seventeen thousand three hundred twelve) is an even 6-digit number. It is a composite number with 56 divisors, and factors as 2⁶ × 3 × 13 × 47. Its proper divisors sum to 224,064, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1CA40.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 15
- Digit product
- 42
- Digital root
- 6
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 213,711
- Square (n²)
- 13,762,105,344
- Cube (n³)
- 1,614,460,102,115,328
- Divisor count
- 56
- σ(n) — sum of divisors
- 341,376
- φ(n) — Euler's totient
- 35,328
- Sum of prime factors
- 75
Primality
Prime factorization: 2 6 × 3 × 13 × 47
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√117,312 = [342; (1, 1, 29, 3, 1, 1, 6, 1, 7, 171, 7, 1, 6, 1, 1, 3, 29, 1, 1, 684)]
Period length 20 — the block in parentheses repeats forever.
Representations
- In words
- one hundred seventeen thousand three hundred twelve
- Ordinal
- 117312th
- Binary
- 11100101001000000
- Octal
- 345100
- Hexadecimal
- 0x1CA40
- Base64
- AcpA
- One's complement
- 4,294,849,983 (32-bit)
- Scientific notation
- 1.17312 × 10⁵
- As a duration
- 117,312 s = 1 day, 8 hours, 35 minutes, 12 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓏺𓏺
- Greek (Milesian)
- ͵ριζτιβʹ
- Mayan (base 20)
- 𝋮·𝋭·𝋥·𝋬
- Chinese
- 一十一萬七千三百一十二
- Chinese (financial)
- 壹拾壹萬柒仟參佰壹拾貳
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 117312, here are decompositions:
- 5 + 117307 = 117312
- 31 + 117281 = 117312
- 43 + 117269 = 117312
- 53 + 117259 = 117312
- 61 + 117251 = 117312
- 71 + 117241 = 117312
- 73 + 117239 = 117312
- 89 + 117223 = 117312
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.202.64.
- Address
- 0.1.202.64
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.202.64
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 117,312 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 117312 first appears in π at position 796,566 of the decimal expansion (the 796,566ordinal-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°.