Properties of the Number 2265

Two Thousand Two Hundred Sixty-Five

Basics

Value: 2264 → 2265 → 2266

Parity: odd

Prime: No

Previous Prime: 2251

Next Prime: 2267

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 5 × 151

Divisors: 1, 3, 5, 15, 151, 453, 755, 2265

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100011011001

Octal: 4331

Duodecimal: 1389

Hexadecimal: 8d9

Square: 5130225

Square Root: 47.59201613716318

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Generalized 21-gonal (or icosihenagonal) numbers: m*(19·m - 17)/2 with m = 0, +1, -1, +2, -2, +3, -3, ... A303298

Smallest composite that when added to sum of prime factors reaches a prime after n iterations. A50710

Total number of ON cells at stage n of two-dimensional cellular automaton defined by "Rule 750" using the von Neumann neighborhood. A169707

Number of integer partitions of n whose length (number of parts) is not equal to the sum of any submultiset. A367213

a(n) = n*(5·n+1)/2. A5475

Expansion of 1/(1 - x - x⁹ - x¹⁷ + x¹⁸). A175772

Numbers n such that φ(n,x) is a flat cyclotomic polynomial of order three. A117223

a(n+3) = -a(n+2) + 2a(n+1) + a(n) with a(0)=-1, a(1)=0, a(2)=-3. A214683

Numbers k such that k² divides 16^k-1. A128396

Number of ON states after n generations of cellular automaton rule described by the rulestring B1/S012345678. A151725