997,200
997,200 is a composite number, even.
997,200 (nine hundred ninety-seven thousand two hundred) is an even 6-digit number. It is a composite number with 90 divisors, and factors as 2⁴ × 3² × 5² × 277. Its proper divisors sum to 2,475,854, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF3750.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 27
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 20 bits
- Reversed
- 2,799
- Square (n²)
- 994,407,840,000
- Cube (n³)
- 991,623,498,048,000,000
- Divisor count
- 90
- σ(n) — sum of divisors
- 3,473,054
- φ(n) — Euler's totient
- 264,960
- Sum of prime factors
- 301
Primality
Prime factorization: 2 4 × 3 2 × 5 2 × 277
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√997,200 = [998; (1, 1, 2, 40, 2, 1, 3, 1, 1, 1, 2, 1, 4, 1, 27, 3, 3, 2, 13, 2, 3, 3, 27, 1, …)]
Period length 38 — the block in parentheses repeats forever.
Representations
- In words
- nine hundred ninety-seven thousand two hundred
- Ordinal
- 997200th
- Binary
- 11110011011101010000
- Octal
- 3633520
- Hexadecimal
- 0xF3750
- Base64
- DzdQ
- One's complement
- 4,293,970,095 (32-bit)
- Scientific notation
- 9.972 × 10⁵
- As a duration
- 997,200 s = 11 days, 13 hours
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 · ·
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢
- Greek (Milesian)
- ͵ϡϟζσʹ
- Chinese
- 九十九萬七千二百
- Chinese (financial)
- 玖拾玖萬柒仟貳佰
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 997200, here are decompositions:
- 37 + 997163 = 997200
- 47 + 997153 = 997200
- 53 + 997147 = 997200
- 59 + 997141 = 997200
- 79 + 997121 = 997200
- 89 + 997111 = 997200
- 97 + 997103 = 997200
- 101 + 997099 = 997200
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.15.55.80.
- Address
- 0.15.55.80
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.15.55.80
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 997,200 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 997200 first appears in π at position 497,620 of the decimal expansion (the 497,620ordinal-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°.