Properties of the Number 97199

Ninety-Seven Thousand One Hundred Ninety-Nine

Basics

Value: 97198 → 97199 → 97200

Parity: odd

Prime: No

Previous Prime: 97187

Next Prime: 97213

Digit Sum: 35

Digital Root: 8

Palindrome: No

Factorization: 37 ² × 71

Divisors: 1, 37, 71, 1369, 2627, 97199

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10111101110101111

Octal: 275657

Duodecimal: 482BB

Hexadecimal: 17baf

Square: 9447645601

Square Root: 311.7675416075253

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

Write the nonprime positive integers on labels in numerical order, forming an infinite sequence L. Now consider the succession of single digits of A000040 (prime numbers): 2 3 5 7 1 1 1 3 1 7 1 9 2 3 2 9 3 1 3 7 4 1 4 3 4 7 5 3 ... (A033308). This sequence gives an arrangement L that produces the same succession of digits, subject to the constraint that the smallest unused label must be used that does not lead to a contradiction. A97487

Expansion of g.f.: (1+3·x²)/((1-x)*(1+x+2·x²)*(1-x+2·x²)). A107443

Expansion of (1-x) / (1+x²+2·x³). A78033

Expansion of g.f. (1+3·x)/((1-x)*(1+3·x+4·x²)). A174565

Expansion of (1-x)^-1/(1-x+2·x²). A77876

Numbers of the form p⁴ + 4^p for p prime. A97199

Number of nX4 0..2 arrays with rows, columns and antidiagonals unimodal and diagonals nondecreasing. A223929