Properties of the Number 13287

Thirteen Thousand Two Hundred Eighty-Seven

Basics

Value: 13286 → 13287 → 13288

Parity: odd

Prime: No

Previous Prime: 13267

Next Prime: 13291

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 43 × 103

Divisors: 1, 3, 43, 103, 129, 309, 4429, 13287

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11001111100111

Octal: 31747

Duodecimal: 7833

Hexadecimal: 33e7

Square: 176544369

Square Root: 115.26925001924842

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

Centered octahedral numbers (crystal ball sequence for cubic lattice). A1845

a(n) = C(n,1) + C(n,2) + C(n,3), or n*(n² + 5)/6. A4006

Number of partitions of triangular numbers n*(n+1)/2 into (n-2) distinct parts for n>=3. A104384

Total sum of the parts in all partitions counted by A339479(n). A343801

Number of 3 X 3 matrices, with elements from {0,...,n}, having the property that the middle element of each of the eight 3-element horizontal, vertical and diagonal lines equals the average of the two end elements. A59329

Numbers k such that the k-th triangular number contains only digits {2,7,8}. A119179

a(n) = floor((1/2 * (sqrt(2) + 1 + sqrt(2·sqrt(2) - 1)))ⁿ ). A50243

Sum of all numbers from n to n-th prime. A161624

Partial sums of A080715. A268403

Expansion of ∏_k>=1 (1 + x^2·k-1)^k*(k-1/2). A294777