997,542
997,542 is a composite number, even.
997,542 (nine hundred ninety-seven thousand five hundred forty-two) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2 × 3³ × 7² × 13 × 29. Its proper divisors sum to 1,875,258, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF38A6.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 36
- Digit product
- 22,680
- Digital root
- 9
- Palindrome
- No
- Bit width
- 20 bits
- Reversed
- 245,799
- Square (n²)
- 995,090,041,764
- Cube (n³)
- 992,644,110,441,344,088
- Divisor count
- 96
- σ(n) — sum of divisors
- 2,872,800
- φ(n) — Euler's totient
- 254,016
- Sum of prime factors
- 67
Primality
Prime factorization: 2 × 3 3 × 7 2 × 13 × 29
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√997,542 = [998; (1, 3, 2, 1, 5, 6, 1, 2, 1, 3, 1, 3, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 3, …)]
Period length 36 — the block in parentheses repeats forever.
Representations
- In words
- nine hundred ninety-seven thousand five hundred forty-two
- Ordinal
- 997542nd
- Binary
- 11110011100010100110
- Octal
- 3634246
- Hexadecimal
- 0xF38A6
- Base64
- Dzim
- One's complement
- 4,293,969,753 (32-bit)
- Scientific notation
- 9.97542 × 10⁵
- As a duration
- 997,542 s = 11 days, 13 hours, 5 minutes, 42 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺
- Greek (Milesian)
- ͵ϡϟζφμβʹ
- Chinese
- 九十九萬七千五百四十二
- Chinese (financial)
- 玖拾玖萬柒仟伍佰肆拾貳
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 997542, here are decompositions:
- 31 + 997511 = 997542
- 79 + 997463 = 997542
- 89 + 997453 = 997542
- 103 + 997439 = 997542
- 109 + 997433 = 997542
- 151 + 997391 = 997542
- 163 + 997379 = 997542
- 173 + 997369 = 997542
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.15.56.166.
- Address
- 0.15.56.166
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.15.56.166
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 997,542 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°.