Properties of the Number 42565

Forty-Two Thousand Five Hundred Sixty-Five

Basics

Value: 42564 → 42565 → 42566

Parity: odd

Prime: No

Previous Prime: 42557

Next Prime: 42569

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 5 × 8513

Divisors: 1, 5, 8513, 42565

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1010011001000101

Octal: 123105

Duodecimal: 20771

Hexadecimal: a645

Square: 1811779225

Square Root: 206.31286920597077

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

Generalized Pellian with second term equal to 7. A48694

Combined Diophantine Chebyshev sequences A077240 and A077239. A77242

Bisection (odd part) of Chebyshev sequence with Diophantine property. A77239

Positive numbers y such that y² is of the form x²+(x+601)² with integer x. A160098

a(n) = ((5+sqrt(5))*(4+sqrt(5))ⁿ + (5-sqrt(5))*(4-sqrt(5))ⁿ)/10. A163073

a(n) = 13 + floor(∑_j=1..n-1 a(j)/2). A120140

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 161", based on the 5-celled von Neumann neighborhood. A270452

Array read by ascending antidiagonals: A(n, k) = n! * [xⁿ] exp((k-1)*x)*(k·cosh(sqrt(k)*x) + sqrt(k)*sinh(sqrt(k)*x))/k, with 1 <= k <= n. A366858

Denominators of continued fraction convergents to sqrt(811). A42565