Properties of the Number 97348

Ninety-Seven Thousand Three Hundred Forty-Eight

Basics

Value: 97347 → 97348 → 97349

Parity: even

Prime: No

Previous Prime: 97327

Next Prime: 97367

Digit Sum: 31

Digital Root: 4

Palindrome: No

Factorization: 2 ² × 24337

Divisors: 1, 2, 4, 24337, 48674, 97348

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10111110001000100

Octal: 276104

Duodecimal: 48404

Hexadecimal: 17c44

Square: 9476633104

Square Root: 312.00641019056

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..3 arrays with no element equal to one plus the sum of elements to its left or two plus the sum of the elements above it or zero plus the sum of the elements diagonally to its northwest, modulo 4. A240284

Positive integers whose square is the sum of 96 consecutive squares. A257827

Number of -1..1 arrays x(0..n+1) of n+2 elements with zero sum and no two neighbors summing to zero. A199825

Number of 3Xn 0..3 arrays with no element equal to one plus the sum of elements to its left or two plus the sum of the elements above it or zero plus the sum of the elements diagonally to its northwest, modulo 4. A240286

Decimal expansion of arccsch(2)/log(10). A97348

G.f. satisfies: A(x) = 1 + ∑_n>=1 xⁿ*A(x)^2ⁿ. A159609