Properties of the Number 11517

Eleven Thousand Five Hundred Seventeen

Basics

Value: 11516 → 11517 → 11518

Parity: odd

Prime: No

Previous Prime: 11503

Next Prime: 11519

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 11 × 349

Divisors: 1, 3, 11, 33, 349, 1047, 3839, 11517

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10110011111101

Octal: 26375

Duodecimal: 67B9

Hexadecimal: 2cfd

Square: 132641289

Square Root: 107.31728658515365

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

Number of subsets of {1..n} containing the sum of every subset whose sum is <= n. A326080

Expansion of 1/((1+x)*(1-x)⁶). A1753

T(n,k)=Number of nXk 0..2 arrays with no element less than a strict majority of its horizontal and antidiagonal neighbors. A232023

Expansion of (1/(1 - x)) * ∑_k>=0 x^2·k+1 / ∏_j=1..2·k+1 (1 - x^j). A306145

Numbers of the form 68+p² (where p is a prime). A138691

Number of numbers in row n of the array at A243855. A243856

Number of n X 5 0..1 arrays with rows unimodal and columns nondecreasing. A225007

Numbers n for which the alternating sum of the digits of nⁿ is 0. A244212

E.g.f. satisfies: A(x) = ∑_n>=0 (n+1)^2·n-2/n! * xⁿ/A(x)ⁿ. A296234

Number of n X 3 0..2 arrays with no element less than a strict majority of its horizontal and antidiagonal neighbors. A232018