Properties of the Number 65653

Sixty-Five Thousand Six Hundred Fifty-Three

Basics

Value: 65652 → 65653 → 65654

Parity: odd

Prime: No

Previous Prime: 65651

Next Prime: 65657

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 7 × 83 × 113

Divisors: 1, 7, 83, 113, 581, 791, 9379, 65653

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000000001110101

Octal: 200165

Duodecimal: 31BB1

Hexadecimal: 10075

Square: 4310316409

Square Root: 256.2284137249419

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

a(n) is the smallest k such that a unique product of distinct terms of A050376 which is equal to k! contains at least the first n terms of A050376. A240695

T(n,k)=Number of nXk 0..6 arrays with every nonzero element less than or equal to at least two horizontal and vertical neighbors. A203389

Expansion of ∏_k>=1 1/(1 - (4·k-1)*x^4·k-1). A265828

Sum of all squarefree semiprimes with greater prime factor prime(n). A339194

Number of partitions of n into two sorts of parts having exactly 6 parts of the second sort. A258476

Number of nX3 0..6 arrays with every nonzero element less than or equal to at least two horizontal and vertical neighbors. A203384

Number of nX4 0..6 arrays with every nonzero element less than or equal to at least two horizontal and vertical neighbors. A203385

Number of length 2+2 0..n arrays with the sum of the maximum minus twice the median plus the minimum of adjacent triples multiplied by some arrangement of +-1 equal to zero. A251429

a(0) = 0, a(1) = 1, a(n) = a(n-2)*a(n-2) + 2 for n > 1. A65653