997,500
997,500 is a composite number, even.
997,500 (nine hundred ninety-seven thousand five hundred) is an even 6-digit number. It is a composite number with 120 divisors, and factors as 2² × 3 × 5⁴ × 7 × 19. Its proper divisors sum to 2,501,380, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF387C.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 30
- Digit product
- 0
- Digital root
- 3
- Palindrome
- No
- Bit width
- 20 bits
- Reversed
- 5,799
- Square (n²)
- 995,006,250,000
- Cube (n³)
- 992,518,734,375,000,000
- Divisor count
- 120
- σ(n) — sum of divisors
- 3,498,880
- φ(n) — Euler's totient
- 216,000
- Sum of prime factors
- 53
Primality
Prime factorization: 2 2 × 3 × 5 4 × 7 × 19
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√997,500 = [998; (1, 2, 1, 79, 6, 1, 2, 79, 1, 1, 4, 1, 1, 79, 2, 1, 6, 79, 1, 2, 1, 1996)]
Period length 22 — the block in parentheses repeats forever.
Representations
- In words
- nine hundred ninety-seven thousand five hundred
- Ordinal
- 997500th
- Binary
- 11110011100001111100
- Octal
- 3634174
- Hexadecimal
- 0xF387C
- Base64
- Dzh8
- One's complement
- 4,293,969,795 (32-bit)
- Scientific notation
- 9.975 × 10⁵
- As a duration
- 997,500 s = 11 days, 13 hours, 5 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢
- Greek (Milesian)
- ͵ϡϟζφʹ
- Chinese
- 九十九萬七千五百
- Chinese (financial)
- 玖拾玖萬柒仟伍佰
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 997500, here are decompositions:
- 37 + 997463 = 997500
- 47 + 997453 = 997500
- 61 + 997439 = 997500
- 67 + 997433 = 997500
- 73 + 997427 = 997500
- 109 + 997391 = 997500
- 131 + 997369 = 997500
- 157 + 997343 = 997500
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.15.56.124.
- Address
- 0.15.56.124
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.15.56.124
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 997,500 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 997500 first appears in π at position 194,450 of the decimal expansion (the 194,450ordinal-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°.