Properties of the Number 28717

Twenty-Eight Thousand Seven Hundred Seventeen

Basics

Value: 28716 → 28717 → 28718

Parity: odd

Prime: No

Previous Prime: 28711

Next Prime: 28723

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 13 × 47 ²

Divisors: 1, 13, 47, 611, 2209, 28717

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 111000000101101

Octal: 70055

Duodecimal: 14751

Hexadecimal: 702d

Square: 824666089

Square Root: 169.4609099468075

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 length n+2 0..k arrays with the sum of the maximum minus twice the median plus the minimum of adjacent triples multiplied by some arrangement of +-1 equal to zero. A251428

MM-numbers of labeled multigraphs spanning an initial interval of positive integers. A320459

Number of 5's in the last section of the set of partitions of n. A206555

MM-numbers of labeled multi-hypergraphs with no singletons spanning an initial interval of positive integers. A320464

Numbers k such that σ(k) = ψ(k) + τ(k) + ω(k)³. A392263

a(0)=1, a(1)=1, a(n) = 13·a(n/2) for n=2,4,6,..., a(n) = 12·a((n-1)/2) + a((n+1)/2) for n=3,5,7,.... A116524

Number of length n+2 0..2 arrays with the sum of the maximum minus twice the median plus the minimum of adjacent triples multiplied by some arrangement of +-1 equal to zero. A251422

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 473", based on the 5-celled von Neumann neighborhood. A272425

Triangle read by rows: expansion of p(x,n)=If[n == 0, 1, (x + 1)ⁿ + 2ⁿ*Sum[Binomial[n-m, m]*x^m*(1 + x^{n - 2·m}), {m, 1, n - 1}]]. A146773

Expansion of (theta₃(z)*theta₃(6z)*theta₃(36z)+theta₂(z)*theta₂(6z)*theta₂(36z))⁴. A28717