Properties of the Number 11296

Eleven Thousand Two Hundred Ninety-Six

Basics

Value: 11295 → 11296 → 11297

Parity: even

Prime: No

Previous Prime: 11287

Next Prime: 11299

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 ⁵ × 353

Divisors: 1, 2, 4, 8, 16, 32, 353, 706, 1412, 2824

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10110000100000

Octal: 26040

Duodecimal: 6654

Hexadecimal: 2c20

Square: 127599616

Square Root: 106.28264204469139

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 can be represented as j⁴ + k⁴, with 0 < j < k, in exactly one way. A88687

Period of the continued fraction for sqrt(2ⁿ-1). A59866

T(n,k)=Number of lower triangular n X n arrays colored with integers 0 upwards introduced in row major order, with no element equal to any horizontal or vertical neighbor, and containing the value n(n+1)/2-k-1. A211910

Numbers that are the sum of two positive fourth powers in exactly one way. A344187

Triangle read by rows giving numbers of paths in a lattice satisfying certain conditions. A71944

Limiting reverse row of the array A274193. A274200

Number of partitions of n into 6 or more parts. A347542

Expansion of e.g.f. exp(-4·x) / (1-x)⁵. A383383

Dimension of 4-variable non-commutative harmonics (Hausdorff derivative). The dimension of the space of non-commutative polynomials in 4 variables which are killed by all symmetric differential operators (where for a monomial w, d_ξ ( w ) = sum over all subwords of w deleting ξ once). A122393

Triangle read by rows: T(n,k) = ∑_{i <= n, j <= k, (i,j) <> (n,k)} T(i,j), starting with T(1,1) = 1, for n >= 1 and 1 <= k <= n. A192933