997,152
997,152 is a composite number, even.
997,152 (nine hundred ninety-seven thousand one hundred fifty-two) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2⁵ × 3 × 13 × 17 × 47. Its proper divisors sum to 2,051,040, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF3720.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 33
- Digit product
- 5,670
- Digital root
- 6
- Palindrome
- No
- Bit width
- 20 bits
- Reversed
- 251,799
- Square (n²)
- 994,312,111,104
- Cube (n³)
- 991,480,310,211,575,808
- Divisor count
- 96
- σ(n) — sum of divisors
- 3,048,192
- φ(n) — Euler's totient
- 282,624
- Sum of prime factors
- 90
Primality
Prime factorization: 2 5 × 3 × 13 × 17 × 47
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√997,152 = [998; (1, 1, 2, 1, 5, 40, 1, 1, 2, 1, 1, 40, 5, 1, 2, 1, 1, 1996)]
Period length 18 — the block in parentheses repeats forever.
Representations
- In words
- nine hundred ninety-seven thousand one hundred fifty-two
- Ordinal
- 997152nd
- Binary
- 11110011011100100000
- Octal
- 3633440
- Hexadecimal
- 0xF3720
- Base64
- Dzcg
- One's complement
- 4,293,970,143 (32-bit)
- Scientific notation
- 9.97152 × 10⁵
- As a duration
- 997,152 s = 11 days, 12 hours, 59 minutes, 12 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺
- Greek (Milesian)
- ͵ϡϟζρνβʹ
- Chinese
- 九十九萬七千一百五十二
- Chinese (financial)
- 玖拾玖萬柒仟壹佰伍拾貳
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 997152, here are decompositions:
- 5 + 997147 = 997152
- 11 + 997141 = 997152
- 29 + 997123 = 997152
- 31 + 997121 = 997152
- 41 + 997111 = 997152
- 43 + 997109 = 997152
- 53 + 997099 = 997152
- 61 + 997091 = 997152
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.15.55.32.
- Address
- 0.15.55.32
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.15.55.32
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 997,152 and was likely granted around 1911.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
Related reading
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.