997,568
997,568 is a composite number, even.
997,568 (nine hundred ninety-seven thousand five hundred sixty-eight) is an even 6-digit number. It is a composite number with 56 divisors, and factors as 2⁶ × 11 × 13 × 109. Its proper divisors sum to 1,349,392, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF38C0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 44
- Digit product
- 136,080
- Digital root
- 8
- Palindrome
- No
- Bit width
- 20 bits
- Reversed
- 865,799
- Square (n²)
- 995,141,914,624
- Cube (n³)
- 992,721,729,487,634,432
- Divisor count
- 56
- σ(n) — sum of divisors
- 2,346,960
- φ(n) — Euler's totient
- 414,720
- Sum of prime factors
- 145
Primality
Prime factorization: 2 6 × 11 × 13 × 109
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√997,568 = [998; (1, 3, 1, 1, 1, 1, 2, 3, 2, 1, 1, 4, 1, 16, 1, 5, 1, 30, 2, 1, 4, 4, 4, 1, …)]
Representations
- In words
- nine hundred ninety-seven thousand five hundred sixty-eight
- Ordinal
- 997568th
- Binary
- 11110011100011000000
- Octal
- 3634300
- Hexadecimal
- 0xF38C0
- Base64
- DzjA
- One's complement
- 4,293,969,727 (32-bit)
- Scientific notation
- 9.97568 × 10⁵
- As a duration
- 997,568 s = 11 days, 13 hours, 6 minutes, 8 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ϡϟζφξηʹ
- Chinese
- 九十九萬七千五百六十八
- Chinese (financial)
- 玖拾玖萬柒仟伍佰陸拾捌
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 997568, here are decompositions:
- 199 + 997369 = 997568
- 211 + 997357 = 997568
- 241 + 997327 = 997568
- 349 + 997219 = 997568
- 367 + 997201 = 997568
- 421 + 997147 = 997568
- 457 + 997111 = 997568
- 487 + 997081 = 997568
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.15.56.192.
- Address
- 0.15.56.192
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.15.56.192
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 997,568 and was likely granted around 1911.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 997568 first appears in π at position 675,835 of the decimal expansion (the 675,835ordinal-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°.