117,972
117,972 is a composite number, even.
117,972 (one hundred seventeen thousand nine hundred seventy-two) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2² × 3² × 29 × 113. Its proper divisors sum to 193,248, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1CCD4.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 27
- Digit product
- 882
- Digital root
- 9
- Palindrome
- No
- Bit width
- 17 bits
- Reversed
- 279,711
- Square (n²)
- 13,917,392,784
- Cube (n³)
- 1,641,862,661,514,048
- Divisor count
- 36
- σ(n) — sum of divisors
- 311,220
- φ(n) — Euler's totient
- 37,632
- Sum of prime factors
- 152
Primality
Prime factorization: 2 2 × 3 2 × 29 × 113
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√117,972 = [343; (2, 7, 1, 51, 1, 23, 1, 1, 4, 3, 1, 5, 2, 1, 2, 2, 1, 13, 3, 5, 1, 42, 10, 1, …)]
Representations
- In words
- one hundred seventeen thousand nine hundred seventy-two
- Ordinal
- 117972nd
- Binary
- 11100110011010100
- Octal
- 346324
- Hexadecimal
- 0x1CCD4
- Base64
- AczU
- One's complement
- 4,294,849,323 (32-bit)
- Scientific notation
- 1.17972 × 10⁵
- As a duration
- 117,972 s = 1 day, 8 hours, 46 minutes, 12 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
- Greek (Milesian)
- ͵ριζϡοβʹ
- Mayan (base 20)
- 𝋮·𝋮·𝋲·𝋬
- Chinese
- 一十一萬七千九百七十二
- Chinese (financial)
- 壹拾壹萬柒仟玖佰柒拾貳
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 117972, here are decompositions:
- 13 + 117959 = 117972
- 61 + 117911 = 117972
- 73 + 117899 = 117972
- 83 + 117889 = 117972
- 89 + 117883 = 117972
- 131 + 117841 = 117972
- 139 + 117833 = 117972
- 163 + 117809 = 117972
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 9C B3 94 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.1.204.212.
- Address
- 0.1.204.212
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.204.212
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 117,972 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 117972 first appears in π at position 777,811 of the decimal expansion (the 777,811ordinal-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°.