997,472
997,472 is a composite number, even.
997,472 (nine hundred ninety-seven thousand four hundred seventy-two) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 7 × 61 × 73. Its proper divisors sum to 1,314,880, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF3860.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 38
- Digit product
- 31,752
- Digital root
- 2
- Palindrome
- No
- Bit width
- 20 bits
- Reversed
- 274,799
- Square (n²)
- 994,950,390,784
- Cube (n³)
- 992,435,156,196,098,048
- Divisor count
- 48
- σ(n) — sum of divisors
- 2,312,352
- φ(n) — Euler's totient
- 414,720
- Sum of prime factors
- 151
Primality
Prime factorization: 2 5 × 7 × 61 × 73
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√997,472 = [998; (1, 2, 1, 3, 2, 8, 1, 3, 4, 3, 2, 2, 3, 1, 1, 3, 1, 1, 1, 13, 1, 15, 1, 1, …)]
Period length 60 — the block in parentheses repeats forever.
Representations
- In words
- nine hundred ninety-seven thousand four hundred seventy-two
- Ordinal
- 997472nd
- Binary
- 11110011100001100000
- Octal
- 3634140
- Hexadecimal
- 0xF3860
- Base64
- Dzhg
- One's complement
- 4,293,969,823 (32-bit)
- Scientific notation
- 9.97472 × 10⁵
- As a duration
- 997,472 s = 11 days, 13 hours, 4 minutes, 32 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
- Greek (Milesian)
- ͵ϡϟζυοβʹ
- Chinese
- 九十九萬七千四百七十二
- Chinese (financial)
- 玖拾玖萬柒仟肆佰柒拾貳
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 997472, here are decompositions:
- 19 + 997453 = 997472
- 103 + 997369 = 997472
- 139 + 997333 = 997472
- 163 + 997309 = 997472
- 193 + 997279 = 997472
- 199 + 997273 = 997472
- 271 + 997201 = 997472
- 331 + 997141 = 997472
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.15.56.96.
- Address
- 0.15.56.96
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.15.56.96
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 997,472 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 997472 first appears in π at position 500,291 of the decimal expansion (the 500,291ordinal-suffix:st 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°.