165,072
165,072 is a composite number, even.
165,072 (one hundred sixty-five thousand seventy-two) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 3 × 19 × 181. Its proper divisors sum to 286,288, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x284D0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 21
- Digit product
- 0
- Digital root
- 3
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 270,561
- Square (n²)
- 27,248,765,184
- Cube (n³)
- 4,498,008,166,453,248
- Divisor count
- 40
- σ(n) — sum of divisors
- 451,360
- φ(n) — Euler's totient
- 51,840
- Sum of prime factors
- 211
Primality
Prime factorization: 2 4 × 3 × 19 × 181
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√165,072 = [406; (3, 2, 3, 1, 4, 10, 1, 11, 1, 3, 1, 2, 67, 2, 1, 3, 1, 11, 1, 10, 4, 1, 3, 2, …)]
Period length 26 — the block in parentheses repeats forever.
Representations
- In words
- one hundred sixty-five thousand seventy-two
- Ordinal
- 165072nd
- Binary
- 101000010011010000
- Octal
- 502320
- Hexadecimal
- 0x284D0
- Base64
- AoTQ
- One's complement
- 4,294,802,223 (32-bit)
- Scientific notation
- 1.65072 × 10⁵
- As a duration
- 165,072 s = 1 day, 21 hours, 51 minutes, 12 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
- Greek (Milesian)
- ͵ρξεοβʹ
- Chinese
- 一十六萬五千零七十二
- Chinese (financial)
- 壹拾陸萬伍仟零柒拾貳
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 165072, here are decompositions:
- 13 + 165059 = 165072
- 23 + 165049 = 165072
- 31 + 165041 = 165072
- 71 + 165001 = 165072
- 73 + 164999 = 165072
- 109 + 164963 = 165072
- 179 + 164893 = 165072
- 191 + 164881 = 165072
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 A8 93 90 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.132.208.
- Address
- 0.2.132.208
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.132.208
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 165,072 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 165072 first appears in π at position 664,474 of the decimal expansion (the 664,474ordinal-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°.