Properties of the Number 97758

Ninety-Seven Thousand Seven Hundred Fifty-Eight

Basics

Value: 97757 → 97758 → 97759

Parity: even

Prime: No

Previous Prime: 97729

Next Prime: 97771

Digit Sum: 36

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ² × 5431

Divisors: 1, 2, 3, 6, 9, 18, 5431, 10862, 16293, 32586

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10111110111011110

Octal: 276736

Duodecimal: 486A6

Hexadecimal: 17dde

Square: 9556626564

Square Root: 312.6627576159335

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

G.f. A(x) satisfies: [xⁿ] (1+x)⁽ⁿ⁺¹*(n+2)) / A(x) = 0 for n>0. A304188

Number of (n+1) X (4+1) 0..2 arrays with no 2 X 2 subblock having the sum of its diagonal elements greater than the maximum of its antidiagonal elements. A251133

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with no 2X2 subblock having the sum of its diagonal elements greater than the maximum of its antidiagonal elements. A251137

Greatest integer that can be written as a sum of distinct squares in exactly n ways, or -1 if no such number exists. A97758