Properties of the Number 13526

Thirteen Thousand Five Hundred Twenty-Six

Basics

Value: 13525 → 13526 → 13527

Parity: even

Prime: No

Previous Prime: 13523

Next Prime: 13537

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 × 6763

Divisors: 1, 2, 6763, 13526

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11010011010110

Octal: 32326

Duodecimal: 79B2

Hexadecimal: 34d6

Square: 182952676

Square Root: 116.30133275246678

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

T(n,k)=Half the number of nXk 0..3 arrays with no element equal to the average of its horizontal and vertical neighbors. A197109

Number of distinct linear polynomials b+c·x in row n of array generated as in Comments. A242448

a(n) = a(n-1) + a(n-2) + 4, with a(0)=0, a(1)=2. A168193

Limit of the coefficient of x^{3^m + n} in B(x)ⁿ⁺¹/(n+1) as m grows, where B(x) = ∑_k>=0 x^{3^k}. A277041

a(n) = ∑_k=0..n binomial(n,k)*floor(sqrt(Bell(k)))*floor(sqrt(Bell(n-k))). A192574

Semiprimes k such that none of k-2, k-1, k+1, and k+2 is squarefree. A364010

Floor((e/2)ⁿ). A14213

Numbers n such that σ(σ(φ(n))) = σ(σ(n)). A172466

Half the number of nX2 0..3 arrays with no element equal to the average of its horizontal and vertical neighbors. A197103

Half the number of nX4 0..3 arrays with no element equal to the average of its horizontal and vertical neighbors. A197105