165,984
165,984 is a composite number, even.
165,984 (one hundred sixty-five thousand nine hundred eighty-four) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2⁵ × 3 × 7 × 13 × 19. Its proper divisors sum to 398,496, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x28860.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 33
- Digit product
- 8,640
- Digital root
- 6
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 489,561
- Recamán's sequence
- a(196,024) = 165,984
- Square (n²)
- 27,550,688,256
- Cube (n³)
- 4,572,973,439,483,904
- Divisor count
- 96
- σ(n) — sum of divisors
- 564,480
- φ(n) — Euler's totient
- 41,472
- Sum of prime factors
- 52
Primality
Prime factorization: 2 5 × 3 × 7 × 13 × 19
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√165,984 = [407; (2, 2, 3, 7, 1, 5, 1, 5, 1, 7, 3, 2, 2, 814)]
Period length 14 — the block in parentheses repeats forever.
Representations
- In words
- one hundred sixty-five thousand nine hundred eighty-four
- Ordinal
- 165984th
- Binary
- 101000100001100000
- Octal
- 504140
- Hexadecimal
- 0x28860
- Base64
- Aohg
- One's complement
- 4,294,801,311 (32-bit)
- Scientific notation
- 1.65984 × 10⁵
- As a duration
- 165,984 s = 1 day, 22 hours, 6 minutes, 24 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρξεϡπδʹ
- Chinese
- 一十六萬五千九百八十四
- Chinese (financial)
- 壹拾陸萬伍仟玖佰捌拾肆
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 165984, here are decompositions:
- 23 + 165961 = 165984
- 37 + 165947 = 165984
- 43 + 165941 = 165984
- 53 + 165931 = 165984
- 83 + 165901 = 165984
- 97 + 165887 = 165984
- 101 + 165883 = 165984
- 107 + 165877 = 165984
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A8 A1 A0 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.136.96.
- Address
- 0.2.136.96
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.136.96
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 165,984 and was likely granted around 1874.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
Related reading
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.