Properties of the Number 15468

Fifteen Thousand Four Hundred Sixty-Eight

Basics

Value: 15467 → 15468 → 15469

Parity: even

Prime: No

Previous Prime: 15467

Next Prime: 15473

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 1289

Divisors: 1, 2, 3, 4, 6, 12, 1289, 2578, 3867, 5156

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11110001101100

Octal: 36154

Duodecimal: 8B50

Hexadecimal: 3c6c

Square: 239259024

Square Root: 124.370414488334

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 T(n,k) of n-step walks on cubic lattice starting at (0,0,0), ending at (x,y,z) with x=k, remaining in the first (nonnegative) octant and using steps (0,0,1), (0,1,0), (1,0,0), (-1,1,1), (1,-1,1), and (1,1,-1); triangle T(n,k), n>=0, 0<=k<=n, read by rows. A328297

Number of edges in a square when n internal squares are drawn between the 4n points that divide each side into n+1 equal parts. A357061

a(n) = n*(2·n² + 5·n + 17)/2. A163661

Irregular triangle T(n,k) read by rows: The number of tilings of the n X n board by 1 X 1 and k 3 X 3 squares, n >= 0, k >= 0. A276171

Number of strings of numbers x(i=1..6) in 0..n with sum i³*x(i)² equal to 216·n². A184307

Number of partitions of n with equal number of parts congruent to each of 1 and 3 (mod 5). A35557

T(n,n-3), array T as in A054110. A54112

Symmetrical triangle sequence from polynomials: q(x,n)=-((-1)ⁿ*(Sum[(k + 1)ⁿ*x^k/k², {k, 1, Infinity}] - PolyLog[2, x])*(x - 1)^{n - 1} + (-1)ⁿ*n *(-1 + x)^{n - 1} Log[1 - x])/x; p(x,n)=q(x,n)+xⁿ*q(1/x,n). A154991

q-Fibonacci numbers for q=10, scaling a(n-2). A15468

Number of (n+1)X(n+1) -10..10 symmetric matrices with every 2X2 subblock having sum zero and one, two or three distinct values. A211817