117,216
117,216 is a composite number, even.
117,216 (one hundred seventeen thousand two hundred sixteen) is an even 6-digit number. It is a composite number with 72 divisors, and factors as 2⁵ × 3² × 11 × 37. Its proper divisors sum to 256,248, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1C9E0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 18
- Digit product
- 84
- Digital root
- 9
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 612,711
- Square (n²)
- 13,739,590,656
- Cube (n³)
- 1,610,499,858,333,696
- Divisor count
- 72
- σ(n) — sum of divisors
- 373,464
- φ(n) — Euler's totient
- 34,560
- Sum of prime factors
- 64
Primality
Prime factorization: 2 5 × 3 2 × 11 × 37
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√117,216 = [342; (2, 1, 2, 1, 1, 13, 2, 1, 1, 7, 1, 5, 1, 26, 1, 1, 6, 1, 2, 3, 6, 1, 10, 171, …)]
Period length 48 — the block in parentheses repeats forever.
Representations
- In words
- one hundred seventeen thousand two hundred sixteen
- Ordinal
- 117216th
- Binary
- 11100100111100000
- Octal
- 344740
- Hexadecimal
- 0x1C9E0
- Base64
- Acng
- One's complement
- 4,294,850,079 (32-bit)
- Scientific notation
- 1.17216 × 10⁵
- As a duration
- 117,216 s = 1 day, 8 hours, 33 minutes, 36 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ριζσιϛʹ
- Mayan (base 20)
- 𝋮·𝋭·𝋠·𝋰
- Chinese
- 一十一萬七千二百一十六
- Chinese (financial)
- 壹拾壹萬柒仟貳佰壹拾陸
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 117216, here are decompositions:
- 7 + 117209 = 117216
- 13 + 117203 = 117216
- 23 + 117193 = 117216
- 53 + 117163 = 117216
- 83 + 117133 = 117216
- 89 + 117127 = 117216
- 97 + 117119 = 117216
- 107 + 117109 = 117216
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.1.201.224.
- Address
- 0.1.201.224
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.201.224
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 117,216 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 117216 first appears in π at position 945,016 of the decimal expansion (the 945,016ordinal-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°.