Properties of the Number 28997

Twenty-Eight Thousand Nine Hundred Ninety-Seven

Basics

Value: 28996 → 28997 → 28998

Parity: odd

Prime: No

Previous Prime: 28979

Next Prime: 29009

Digit Sum: 35

Digital Root: 8

Palindrome: No

Factorization: 107 × 271

Divisors: 1, 107, 271, 28997

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111000101000101

Octal: 70505

Duodecimal: 14945

Hexadecimal: 7145

Square: 840826009

Square Root: 170.28505512815855

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 the median of adjacent triples multiplied by some arrangement of +-1 equal to zero. A251935

Expansion of ∏_k>=1 1/(1-x^k²)^k². A291655

Triangle read by rows: T(n,k) is the number of hill-free Dyck paths of semilength n and having k UUDD's, where U=(1,1) and D=(1,-1) (0<=k<=floor(n/2), n>=2). A hill in a Dyck path is a peak at level 1. A105640

Number of joining pairs of integer partitions of n. A318915

Spiral sieve using Fibonacci numbers. A5621

Number of length n+2 0..2 arrays with the sum of the maximum minus the median of adjacent triples multiplied by some arrangement of +-1 equal to zero. A251929

Hankel transform of Moebius function A008683. A56227

θ series of quadratic form with Gram matrix [ 4, 1, 0, 1; 1, 4, 1, 0; 0, 1, 4, -1; 1, 0, -1, 4 ]. A28997