165,504
165,504 is a composite number, even.
165,504 (one hundred sixty-five thousand five hundred four) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2⁷ × 3 × 431. Its proper divisors sum to 275,136, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x28680.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 21
- Digit product
- 0
- Digital root
- 3
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 405,561
- Recamán's sequence
- a(52,680) = 165,504
- Square (n²)
- 27,391,574,016
- Cube (n³)
- 4,533,415,065,944,064
- Divisor count
- 32
- σ(n) — sum of divisors
- 440,640
- φ(n) — Euler's totient
- 55,040
- Sum of prime factors
- 448
Primality
Prime factorization: 2 7 × 3 × 431
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√165,504 = [406; (1, 4, 1, 1, 1, 1, 2, 1, 1, 2, 2, 24, 4, 4, 1, 1, 3, 4, 3, 5, 1, 5, 1, 7, …)]
Period length 60 — the block in parentheses repeats forever.
Representations
- In words
- one hundred sixty-five thousand five hundred four
- Ordinal
- 165504th
- Binary
- 101000011010000000
- Octal
- 503200
- Hexadecimal
- 0x28680
- Base64
- AoaA
- One's complement
- 4,294,801,791 (32-bit)
- Scientific notation
- 1.65504 × 10⁵
- As a duration
- 165,504 s = 1 day, 21 hours, 58 minutes, 24 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ρξεφδʹ
- Chinese
- 一十六萬五千五百零四
- Chinese (financial)
- 壹拾陸萬伍仟伍佰零肆
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 165504, here are decompositions:
- 41 + 165463 = 165504
- 47 + 165457 = 165504
- 61 + 165443 = 165504
- 67 + 165437 = 165504
- 107 + 165397 = 165504
- 113 + 165391 = 165504
- 137 + 165367 = 165504
- 173 + 165331 = 165504
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A8 9A 80 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.134.128.
- Address
- 0.2.134.128
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.134.128
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 165,504 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 165504 first appears in π at position 122,509 of the decimal expansion (the 122,509ordinal-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°.