Properties of the Number 97292

Ninety-Seven Thousand Two Hundred Ninety-Two

Basics

Value: 97291 → 97292 → 97293

Parity: even

Prime: No

Previous Prime: 97283

Next Prime: 97301

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 2 ² × 13 × 1871

Divisors: 1, 2, 4, 13, 26, 52, 1871, 3742, 7484, 24323

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10111110000001100

Octal: 276014

Duodecimal: 48378

Hexadecimal: 17c0c

Square: 9465733264

Square Root: 311.9166555347758

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 3,4,0,2,1 for x=0,1,2,3,4. A196653

a(n) = 144·n² - 2·n. A158135

Expansion of 1/(1 + x * ∑_k>=1 prime(k)*x^k). A307899

Number of 5-step self-avoiding walks on an n X n square summed over all starting positions. A188150

Number of nX5 0..4 arrays with each element·equal to the number its horizontal and vertical neighbors equal to 3,4,0,2,1 for x=0,1,2,3,4. A196650

Number of nX6 0..4 arrays with each element·equal to the number its horizontal and vertical neighbors equal to 3,4,0,2,1 for x=0,1,2,3,4. A196651

Rectangular array T, by antidiagonals: T(n,k) = rank of n in A097291 at which the pair (n,k) occurs. A97292