Properties of the Number 65336

Sixty-Five Thousand Three Hundred Thirty-Six

Basics

Value: 65335 → 65336 → 65337

Parity: even

Prime: No

Previous Prime: 65327

Next Prime: 65353

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 ³ × 8167

Divisors: 1, 2, 4, 8, 8167, 16334, 32668, 65336

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111111100111000

Octal: 177470

Duodecimal: 31988

Hexadecimal: ff38

Square: 4268792896

Square Root: 255.60907652115955

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

Matrix logarithm of triangle A111536. A111541

Triangle T(n, k, m) = coefficients of p(x, n, m) where p(x,n,m) = (x+1)*p(x, n-1, m) + (2^m+n-1 + 2^n-2*[n>=3])*x·p(x, n-2, m) and m=2, read by rows. A154984

Decimal representation of the diagonal from the corner to the origin of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 229", based on the 5-celled von Neumann neighborhood. A286965

Size of the BDD for the hidden weighted bit function, with the variables in their natural ordering. A136445

Column 1 of triangle A111541, which is the matrix logarithm of A111536. A111542

Triangular matrix T, read by rows, that satisfies: SHIFT_LEFT(column 0 of T^p) = p*(column p+2 of T), or [T^p](m,0) = p·T(p+m,p+2) for all m>=1 and p>=-2. A111536

a(0) = 1; thereafter, a(n) is the smallest number such that ∑_{m = 0 .. n-1} a(m)*a(m+1) is a square. A65336