Properties of the Number 15729

Fifteen Thousand Seven Hundred Twenty-Nine

Basics

Value: 15728 → 15729 → 15730

Parity: odd

Prime: No

Previous Prime: 15727

Next Prime: 15731

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 7 ² × 107

Divisors: 1, 3, 7, 21, 49, 107, 147, 321, 749, 2247

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11110101110001

Octal: 36561

Duodecimal: 9129

Hexadecimal: 3d71

Square: 247401441

Square Root: 125.41531007018241

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 ways to arrange k indistinguishable points on an n X n X n triangular grid so that no three points are in the same row or diagonal. A194480

Number of n X 2 0..1 arrays with every element equal to 0, 1, 2 or 4 king-move adjacent elements, with upper left element zero. A297883

Expansion of ∏_k>=1 B(x^k), where B(x) is the g.f. of A003106. A327691

Number of squares of all sizes in 3·n*(n+1)/2-ominoes in form of three-quarters of Aztec diamonds. A258440

Number of ON cells after n generations of two-dimensional automaton based on knight moves (see Comments for definition; here a cell is turned ON if 1 or 2 neighbors are ON). A322055

Short leg of primitive Pythagorean triangles having legs that add up to a square, sorted on hypotenuse. A89547

Numbers n such that n+/-2 and n²+/-2 are all primes. A189051

Number of ways to arrange 4 indistinguishable points on an n X n X n triangular grid so that no three points are in the same row or diagonal. A194476

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, 0, 0), (0, -1, 0), (0, 1, -1), (0, 1, 1), (1, 1, 1)}. A150985

Sum of first n cubes; or n-th triangular number squared. A537