265 (number)
| ||||
|---|---|---|---|---|
| Cardinal | two hundred sixty-five | |||
| Ordinal | 265th (two hundred sixty-fifth) | |||
| Factorization | 5 × 53 | |||
| Divisors | 1, 5, 53, 265 | |||
| Greek numeral | ΣΞΕ´ | |||
| Roman numeral | CCLXV, cclxv | |||
| Binary | 1000010012 | |||
| Ternary | 1002113 | |||
| Senary | 11216 | |||
| Octal | 4118 | |||
| Duodecimal | 1A112 | |||
| Hexadecimal | 10916 | |||
265 (two hundred [and] sixty-five) is the natural number following 264 and preceding 266.
In mathematics
[edit]- 265 is an odd composite number with two prime factors.[1]
- 265's sum of its proper divisors is 59.[2]
- 265 is the number of derangements possible with 6 digits. That means that it is equivalent to !6.[3]
- The number 265 is associated with the geometric shape known as the Vesica Piscis. This is shown by having 2 circles overlap in a way that the circumference of each circle touches the center of the other. Archimedes estimated that the ratio of the height of this shape to the width was 265:153 or approximately √3.[4]
- 265 is the 22nd Padovan number which is defined by the two equations P(0)=P(1)=P(2)=1 and P(n)=P(n-2)+P(n-3) similar to the Fibonacci sequence.[5]
- 265 is the 7th number to be the hypotenuse for two separate Pythagorean Triples. The other two values would be 23 and 264 or 96 and 247.[6]
- 265 is the sum of two sets of two perfect squares. Those being 11 and 12 or 16 and 3.
References
[edit]- ^ "Facts about the integer". mathworld.wolfram.com.
- ^ "Proper divisors of 265". numbermatics.com.
- ^ "Derangement sequence". mathworld.wolfram.com.
- ^ "Vescica Piscis". mathworld.wolfram.com.
- ^ "Padovan sequence". mathworld.wolfram.com.
- ^ "Pythagorean triples list" (PDF). aleph0.clarku.edu.