117,728
117,728 is a composite number, even.
117,728 (one hundred seventeen thousand seven hundred twenty-eight) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 13 × 283. Its proper divisors sum to 132,760, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1CBE0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 26
- Digit product
- 784
- Digital root
- 8
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 827,711
- Square (n²)
- 13,859,881,984
- Cube (n³)
- 1,631,696,186,212,352
- Divisor count
- 24
- σ(n) — sum of divisors
- 250,488
- φ(n) — Euler's totient
- 54,144
- Sum of prime factors
- 306
Primality
Prime factorization: 2 5 × 13 × 283
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√117,728 = [343; (8, 1, 2, 5, 1, 2, 1, 1, 1, 13, 2, 1, 2, 2, 1, 1, 3, 171, 3, 1, 1, 2, 2, 1, …)]
Period length 36 — the block in parentheses repeats forever.
Representations
- In words
- one hundred seventeen thousand seven hundred twenty-eight
- Ordinal
- 117728th
- Binary
- 11100101111100000
- Octal
- 345740
- Hexadecimal
- 0x1CBE0
- Base64
- Acvg
- One's complement
- 4,294,849,567 (32-bit)
- Scientific notation
- 1.17728 × 10⁵
- As a duration
- 117,728 s = 1 day, 8 hours, 42 minutes, 8 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ριζψκηʹ
- Mayan (base 20)
- 𝋮·𝋮·𝋦·𝋨
- Chinese
- 一十一萬七千七百二十八
- Chinese (financial)
- 壹拾壹萬柒仟柒佰貳拾捌
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 117728, here are decompositions:
- 7 + 117721 = 117728
- 19 + 117709 = 117728
- 109 + 117619 = 117728
- 151 + 117577 = 117728
- 157 + 117571 = 117728
- 199 + 117529 = 117728
- 211 + 117517 = 117728
- 229 + 117499 = 117728
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.203.224.
- Address
- 0.1.203.224
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.203.224
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 117,728 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 117728 first appears in π at position 538,462 of the decimal expansion (the 538,462ordinal-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.
Related reading
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.