Properties of the Number 11518

Eleven Thousand Five Hundred Eighteen

Basics

Value: 11517 → 11518 → 11519

Parity: even

Prime: No

Previous Prime: 11503

Next Prime: 11519

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 × 13 × 443

Divisors: 1, 2, 13, 26, 443, 886, 5759, 11518

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10110011111110

Octal: 26376

Duodecimal: 67BA

Hexadecimal: 2cfe

Square: 132664324

Square Root: 107.32194556566705

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)=Number of 0..2 arrays of length n+2·k-1 with sum no more than 2·k in any length 2k subsequence (=50% duty cycle). A212232

a(n) = n*(n+1)*(3·n²+n-1)/6. A103220

T(n,k)=Number of length n+3 0..k arrays with no consecutive four elements summing to more than 2·k. A241964

G.f. A(x) satisfies: A(x) = ∑_n>=0 x^2·n*A(x)ⁿ / (1 - xⁿ⁺¹*A(x)ⁿ⁺²). A340355

Number of partitions p of n such that the number of numbers p having multiplicity 1 in p is not a part and the number of numbers having multiplicity > 1 is not a part. A241417

Square spiral of sums of selected preceding terms, starting at 0 followed by 1 (a spiral Fibonacci-like sequence). A94769

Second elementary symmetric function of the first n terms of (1,1,2,2,3,3,4,4,...). A203246

Numbers k such that S(k+2) = d(k)+2, where S(k) is the Kempner function (A002034) and d(k) is the number of divisors of k (A000005). A73535

Smallest initial value k that reaches 1 in n steps when iterating the map m -> rad(m)-1, where rad(m) is the squarefree kernel of m (A007947). A75426

G.f. satisfies A(x) = 1 + x·A(x)⁴ + x²*A(x)³. A367050