97,664
97,664 is a composite number, even.
97,664 (ninety-seven thousand six hundred sixty-four) is an even 5-digit number. It is a composite number with 32 divisors, and factors as 2⁷ × 7 × 109. Its proper divisors sum to 126,736, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x17D80.
Interestingness
Properties
Primality
Prime factorization: 2 7 × 7 × 109
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√97,664 = [312; (1, 1, 19, 1, 1, 1, 21, 1, 1, 1, 19, 1, 1, 624)]
Period length 14 — the block in parentheses repeats forever.
Representations
- In words
- ninety-seven thousand six hundred sixty-four
- Ordinal
- 97664th
- Binary
- 10111110110000000
- Octal
- 276600
- Hexadecimal
- 0x17D80
- Base64
- AX2A
- One's complement
- 4,294,869,631 (32-bit)
- Scientific notation
- 9.7664 × 10⁴
- As a duration
- 97,664 s = 1 day, 3 hours, 7 minutes, 44 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ϟζχξδʹ
- Mayan (base 20)
- 𝋬·𝋤·𝋣·𝋤
- Chinese
- 九萬七千六百六十四
- Chinese (financial)
- 玖萬柒仟陸佰陸拾肆
Digit at this position in famous constants
- π — Pi (π)
- Digit 97,664 = 9
- e — Euler's number (e)
- Digit 97,664 = 9
- φ — Golden ratio (φ)
- Digit 97,664 = 3
- √2 — Pythagoras's (√2)
- Digit 97,664 = 8
- ln 2 — Natural log of 2
- Digit 97,664 = 6
- γ — Euler-Mascheroni (γ)
- Digit 97,664 = 1
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 97664, here are decompositions:
- 13 + 97651 = 97664
- 103 + 97561 = 97664
- 163 + 97501 = 97664
- 211 + 97453 = 97664
- 223 + 97441 = 97664
- 241 + 97423 = 97664
- 277 + 97387 = 97664
- 283 + 97381 = 97664
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 97 B6 80 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.1.125.128.
- Address
- 0.1.125.128
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.1.125.128
Unspecified address (0.0.0.0/8) — "this network" placeholder.
The digit sequence 97664 first appears in π at position 146,438 of the decimal expansion (the 146,438ordinal-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
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.