997,013
997,013 is a prime, odd.
997,013 (nine hundred ninety-seven thousand thirteen) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF3695.
Interestingness
Properties
- Parity
- Odd
- Digit count
- 6
- Digit sum
- 29
- Digit product
- 0
- Digital root
- 2
- Palindrome
- No
- Bit width
- 20 bits
- Reversed
- 310,799
- Square (n²)
- 994,034,922,169
- Cube (n³)
- 991,065,739,856,481,197
- Divisor count
- 2
- σ(n) — sum of divisors
- 997,014
- φ(n) — Euler's totient
- 997,012
Primality
997,013 is prime. It has exactly two divisors: 1 and itself.
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√997,013 = [998; (1, 1, 45, 1, 16, 4, 4, 1, 1, 1, 1, 53, 2, 1, 2, 1, 5, 3, 2, 10, 42, 2, 1, 1, …)]
Representations
- In words
- nine hundred ninety-seven thousand thirteen
- Ordinal
- 997013th
- Binary
- 11110011011010010101
- Octal
- 3633225
- Hexadecimal
- 0xF3695
- Base64
- DzaV
- One's complement
- 4,293,970,282 (32-bit)
- Scientific notation
- 9.97013 × 10⁵
- As a duration
- 997,013 s = 11 days, 12 hours, 56 minutes, 53 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓏺𓏺𓏺
- Greek (Milesian)
- ͵ϡϟζιγʹ
- Chinese
- 九十九萬七千零一十三
- Chinese (financial)
- 玖拾玖萬柒仟零壹拾參
Also seen as
As an unsigned 32-bit integer, this is the IPv4 address 0.15.54.149.
- Address
- 0.15.54.149
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.15.54.149
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 997,013 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 997013 first appears in π at position 184,971 of the decimal expansion (the 184,971ordinal-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
- Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
- Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.