997,560
997,560 is a composite number, even.
997,560 (nine hundred ninety-seven thousand five hundred sixty) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2³ × 3² × 5 × 17 × 163. Its proper divisors sum to 2,456,280, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF38B8.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 36
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 20 bits
- Reversed
- 65,799
- Square (n²)
- 995,125,953,600
- Cube (n³)
- 992,697,846,273,216,000
- Divisor count
- 96
- σ(n) — sum of divisors
- 3,453,840
- φ(n) — Euler's totient
- 248,832
- Sum of prime factors
- 197
Primality
Prime factorization: 2 3 × 3 2 × 5 × 17 × 163
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√997,560 = [998; (1, 3, 1, 1, 7, 1, 4, 16, 3, 3, 2, 4, 2, 4, 2, 3, 3, 16, 4, 1, 7, 1, 1, 3, …)]
Period length 26 — the block in parentheses repeats forever.
Representations
- In words
- nine hundred ninety-seven thousand five hundred sixty
- Ordinal
- 997560th
- Binary
- 11110011100010111000
- Octal
- 3634270
- Hexadecimal
- 0xF38B8
- Base64
- Dzi4
- One's complement
- 4,293,969,735 (32-bit)
- Scientific notation
- 9.9756 × 10⁵
- As a duration
- 997,560 s = 11 days, 13 hours, 6 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵ϡϟζφξʹ
- Chinese
- 九十九萬七千五百六十
- Chinese (financial)
- 玖拾玖萬柒仟伍佰陸拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 997560, here are decompositions:
- 7 + 997553 = 997560
- 13 + 997547 = 997560
- 19 + 997541 = 997560
- 97 + 997463 = 997560
- 107 + 997453 = 997560
- 127 + 997433 = 997560
- 181 + 997379 = 997560
- 191 + 997369 = 997560
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.15.56.184.
- Address
- 0.15.56.184
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.15.56.184
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 997,560 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 997560 first appears in π at position 195,960 of the decimal expansion (the 195,960ordinal-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°.