165,664
165,664 is a composite number, even.
165,664 (one hundred sixty-five thousand six hundred sixty-four) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 31 × 167. Its proper divisors sum to 173,024, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x28720.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 28
- Digit product
- 4,320
- Digital root
- 1
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 466,561
- Square (n²)
- 27,444,560,896
- Cube (n³)
- 4,546,575,736,274,944
- Divisor count
- 24
- σ(n) — sum of divisors
- 338,688
- φ(n) — Euler's totient
- 79,680
- Sum of prime factors
- 208
Primality
Prime factorization: 2 5 × 31 × 167
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√165,664 = [407; (54, 3, 1, 2, 1, 2, 1, 7, 1, 1, 1, 15, 1, 23, 1, 2, 1, 2, 14, 2, 3, 2, 4, 2, …)]
Period length 46 — the block in parentheses repeats forever.
Representations
- In words
- one hundred sixty-five thousand six hundred sixty-four
- Ordinal
- 165664th
- Binary
- 101000011100100000
- Octal
- 503440
- Hexadecimal
- 0x28720
- Base64
- Aocg
- One's complement
- 4,294,801,631 (32-bit)
- Scientific notation
- 1.65664 × 10⁵
- As a duration
- 165,664 s = 1 day, 22 hours, 1 minute, 4 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒁹 𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρξεχξδʹ
- Chinese
- 一十六萬五千六百六十四
- Chinese (financial)
- 壹拾陸萬伍仟陸佰陸拾肆
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 165664, here are decompositions:
- 11 + 165653 = 165664
- 47 + 165617 = 165664
- 53 + 165611 = 165664
- 113 + 165551 = 165664
- 131 + 165533 = 165664
- 137 + 165527 = 165664
- 227 + 165437 = 165664
- 281 + 165383 = 165664
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A8 9C A0 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.135.32.
- Address
- 0.2.135.32
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.135.32
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 165,664 and was likely granted around 1874.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 165664 first appears in π at position 977,047 of the decimal expansion (the 977,047ordinal-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°.