Properties of the Number 98721

Ninety-Eight Thousand Seven Hundred Twenty-One

Basics

Value: 98720 → 98721 → 98722

Parity: odd

Prime: No

Previous Prime: 98717

Next Prime: 98729

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 7 × 1567

Divisors: 1, 3, 7, 9, 21, 63, 1567, 4701, 10969, 14103

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 11000000110100001

Octal: 300641

Duodecimal: 49169

Hexadecimal: 181a1

Square: 9745835841

Square Root: 314.1989815387695

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

Number of distinct solutions of sum{i=1..7}(x(2i-1)*x(2i)) = 1 (mod n), with x() only in 2..n-2. A180830

T(n,k)=number of distinct solutions of sum{i=1..k}(x(2i-1)*x(2i)) = 1 (mod n), with x() only in 2..n-2. A180834

a(n) = C(n, 2)^n-3 = (n(n-1)/2)^n-3. A98721

Array read by antidiagonals: the number of automata over an n-letter alphabet whose states are determined by the last k symbols read. A248905