Properties of the Number 97892

Ninety-Seven Thousand Eight Hundred Ninety-Two

Basics

Value: 97891 → 97892 → 97893

Parity: even

Prime: No

Previous Prime: 97883

Next Prime: 97919

Digit Sum: 35

Digital Root: 8

Palindrome: No

Factorization: 2 ² × 24473

Divisors: 1, 2, 4, 24473, 48946, 97892

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10111111001100100

Octal: 277144

Duodecimal: 48798

Hexadecimal: 17e64

Square: 9582843664

Square Root: 312.87697262662203

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 nXk 0..4 arrays with each element·equal to the number of its horizontal and vertical neighbors equal to 3,0,1,4,2 for x=0,1,2,3,4. A196300

Number of maximal subsets of {1..n} containing no sums of distinct elements. A326498

Number of 5-step S, NW and NE-moving king's tours on an n X n board summed over all starting positions. A187379

Number of nX4 0..4 arrays with each element·equal to the number its horizontal and vertical neighbors equal to 3,0,1,4,2 for x=0,1,2,3,4. A196296

Number of nX6 0..4 arrays with each element·equal to the number its horizontal and vertical neighbors equal to 3,0,1,4,2 for x=0,1,2,3,4. A196298

Triangle read by rows: T(n,k) is the number of Motzkin paths of length n and having k peaks at even height. A97892