Properties of the Number 11265

Eleven Thousand Two Hundred Sixty-Five

Basics

Value: 11264 → 11265 → 11266

Parity: odd

Prime: No

Previous Prime: 11261

Next Prime: 11273

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 5 × 751

Divisors: 1, 3, 5, 15, 751, 2253, 3755, 11265

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10110000000001

Octal: 26001

Duodecimal: 6629

Hexadecimal: 2c01

Square: 126900225

Square Root: 106.13670430157515

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

Numbers that are the sum of 12 positive 10th powers. A4812

a(n) = n·2^n-1 + 1. A5183

a(n) = ∑_d∣n d·2^d-1 for n > 0. A83413

a(n) = 11·2ⁿ + 1. A83683

Numbers k such that 2·k+1, 4·k+1, 8·k+1 and 16·k+1 are primes. A124412

Square of the lower triangular normalized partition matrix. A27516

a(n) = ∑_{d divides n} d·2^n-n/d. A80267

Triangle formed by coefficients of the expansion of p(x,n) = (1+x-x²)ⁿ⁺¹*∑_{j >= 0} (2·j+1)ⁿ*(-x + x²)^j. A156918

Number of Dyck paths of semilength n such that all eight consecutive step patterns of length 3 occur at least once. A243882

a(n) = n*(25·n + 1)/2. A22283