265 (number)

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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

Last updated January 12, 2025

265 (two hundred [and] sixty-five) is the natural number following 264 and preceding 266.

In mathematics

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.

Related Research Articles

In mathematics, the amicable numbers are two different natural numbers related in such a way that the sum of the proper divisors of each is equal to the other number. That is, s(a)=b and s(b)=a, where s(n)=σ(n)-n is equal to the sum of positive divisors of n except n itself (see also divisor function).

A Pythagorean triple consists of three positive integers $a$ , $b$ , and $c$ , such that $a 2 + b 2 = c 2$ . Such a triple is commonly written $(a, b, c)$ , a well-known example is $(3, 4, 5)$ . If $(a, b, c)$ is a Pythagorean triple, then so is $(ka, kb, kc)$ for any positive integer $k$ . A triangle whose side lengths are a Pythagorean triple is a right triangle and called a Pythagorean triangle.

6 (six) is the natural number following 5 and preceding 7. It is a composite number and the smallest perfect number.

8 (eight) is the natural number following 7 and preceding 9.

21 (twenty-one) is the natural number following 20 and preceding 22.

28 (twenty-eight) is the natural number following 27 and preceding 29.

34 (thirty-four) is the natural number following 33 and preceding 35.

36 (thirty-six) is the natural number following 35 and preceding 37.

54 (fifty-four) is the natural number and positive integer following 53 and preceding 55. As a multiple of 2 but not of 4, 54 is an oddly even number and a composite number.

200 is the natural number following 199 and preceding 201.

360 is the natural number following 359 and preceding 361.

In elementary number theory, a centered square number is a centered figurate number that gives the number of dots in a square with a dot in the center and all other dots surrounding the center dot in successive square layers. That is, each centered square number equals the number of dots within a given city block distance of the center dot on a regular square lattice. While centered square numbers, like figurate numbers in general, have few if any direct practical applications, they are sometimes studied in recreational mathematics for their elegant geometric and arithmetic properties.

<span class="mw-page-title-main">Superior highly composite number</span> Class of natural numbers with many divisors

In number theory, a superior highly composite number is a natural number which, in a particular rigorous sense, has many divisors. Particularly, it is defined by a ratio between the number of divisors an integer has and that integer raised to some positive power.

305 is the natural number following 304 and preceding 306.

264 is the natural number following 263 and preceding 265.

274 is the natural number following 273 and preceding 275.

293 is the natural number following 292 and preceding 294.

284 is the natural number following 283 and preceding 285.

310 is the natural number following 309 and preceding 311.

292 is the natural number following 291 and preceding 293.

References

↑ "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.

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[1] "Facts about the integer". mathworld.wolfram.com.

[2] "Proper divisors of 265". numbermatics.com.

[3] "Derangement sequence". mathworld.wolfram.com.

[4] "Vescica Piscis". mathworld.wolfram.com.

[5] "Padovan sequence". mathworld.wolfram.com.

[6] "Pythagorean triples list" (PDF). aleph0.clarku.edu.

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