Properties of the Number 98256

Ninety-Eight Thousand Two Hundred Fifty-Six

Basics

Value: 98255 → 98256 → 98257

Parity: even

Prime: No

Previous Prime: 98251

Next Prime: 98257

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 2 ⁴ × 3 × 23 × 89

Divisors: 1, 2, 3, 4, 6, 8, 12, 16, 23, 24

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10111111111010000

Octal: 277720

Duodecimal: 48A40

Hexadecimal: 17fd0

Square: 9654241536

Square Root: 313.45813117544105

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

a(n) = binomial(n+2,2) + binomial(n+3,3) + binomial(n+4,4) + binomial(n+5,5). A27659

Configurations of linear chains in a 4-dimensional hypercubic lattice. A46788

θ series of odd Leech lattice (the unique unimodular 24-dimensional lattice with minimal norm 3). A27859

Triangle read by rows: T(n,k) is the number of ordered triples of n-permutations with exactly k common descents, n>=0, 0<=k<=max(0,n-1). A334394

Triangle read by rows, (∑_k=0..n T[n,k]*x^k) / (1-x)ⁿ⁺¹ are generating functions of the columns of A287698. A287697

First differences of Chebyshev polynomials S(n,443) = A098254(n) with Diophantine property. A98256

Rolling icosahedron face footprints: number of 5Xn 0..19 arrays starting with 0 where 0..19 label faces of an icosahedron and every array movement to a horizontal, diagonal or antidiagonal neighbor moves across an icosahedral edge. A223286

a(n) = (5!)³ * [z⁵] hypergeom([], [1,1], z)ⁿ. A287701