Properties of the Number 97341

Ninety-Seven Thousand Three Hundred Forty-One

Basics

Value: 97340 → 97341 → 97342

Parity: odd

Prime: No

Previous Prime: 97327

Next Prime: 97367

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 71 × 457

Divisors: 1, 3, 71, 213, 457, 1371, 32447, 97341

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10111110000111101

Octal: 276075

Duodecimal: 483B9

Hexadecimal: 17c3d

Square: 9475270281

Square Root: 311.99519227065025

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 arrays containing k copies of 0..n-1 with rows and columns nondecreasing. A265005

Numbers k such that φ(k) + φ(k+1) divides σ(k) + σ(k+1). A67282

Number of nX5 0..4 arrays with every row and column nondecreasing rightwards and downwards, and the number of instances of each value within one of each other. A200987

Twin prime products minus 2. A124659

Positive integers m such that none of the four consecutive numbers m, m+1, m+2, m+3 can be written as p² + q with p and q both prime. A258661

Number of nX7 0..4 arrays with every row and column nondecreasing rightwards and downwards, and the number of instances of each value within one of each other. A200989

Number of nX7 arrays of permutations of 7 copies of 0..n-1 with rows and columns nondecreasing. A265004

T(n,k)=Number of nXk 0..4 arrays with every row and column nondecreasing rightwards and downwards, and the number of instances of each value within one of each other. A200990

a(n) = ∑_{k=0..floor(n/2)} Stirling2(n-k,k) * 2^k. A97341