Properties of the Number 98825

Ninety-Eight Thousand Eight Hundred Twenty-Five

Basics

Value: 98824 → 98825 → 98826

Parity: odd

Prime: No

Previous Prime: 98809

Next Prime: 98837

Digit Sum: 32

Digital Root: 5

Palindrome: No

Factorization: 5 ² × 59 × 67

Divisors: 1, 5, 25, 59, 67, 295, 335, 1475, 1675, 3953

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 11000001000001001

Octal: 301011

Duodecimal: 49235

Hexadecimal: 18209

Square: 9766380625

Square Root: 314.36443819236297

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

Expansion of a cusp form of weight 8 for Gamma₁(6). A6354

Triangle read by rows: T(n,k) = number of partial derangements, that is, the number of permutations of n distinct, ordered items in which exactly k of the items are in their natural ordered positions, for n >= 0, k = n, n-1, ..., 1, 0. A98825

G.f. A(x) satisfies A(x) = 1/A(-x·A(x)) such that [x^2·n-1] A(x)ⁿ = 0 for n >= 2, with A(0) = A'(0) = 1. A377250

Number of n X 7 0..1 arrays with every element unequal to 0, 1, 2, 6, 7 or 8 king-move adjacent elements, with upper left element zero. A316692