Properties of the Number 66436

Sixty-Six Thousand Four Hundred Thirty-Six

Basics

Value: 66435 → 66436 → 66437

Parity: even

Prime: No

Previous Prime: 66431

Next Prime: 66449

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 ² × 17 × 977

Divisors: 1, 2, 4, 17, 34, 68, 977, 1954, 3908, 16609

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10000001110000100

Octal: 201604

Duodecimal: 32544

Hexadecimal: 10384

Square: 4413742096

Square Root: 257.75181861628056

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

E.g.f. C(x,y) = 1 + Integral S(x,y)*C(y,x) dx such that C(x,y)² - S(x,y)² = 1 and C(y,x) = Integral S(y,x)*C(x,y) dy, where C(x,y) = ∑_n>=0 ∑_k=0..n T(n,k) * x^2·n-2·k*y^2·k/((2·n-2·k)!*(2·k)!), as a triangle of coefficients T(n,k) read by rows. A322221

E.g.f. C(y,x) = 1 + Integral S(y,x)*C(x,y) dy such that C(y,x)² - S(y,x)² = 1 and C(x,y) = Integral S(x,y)*C(y,x) dx, where C(y,x) = ∑_n>=0 ∑_k=0..n T(n,k) * x^2·n-2·k*y^2·k/((2·n-2·k)!*(2·k)!), as a triangle of coefficients T(n,k) read by rows. A322222

E.g.f. C(x,y) = 1 - Integral S(x,y)*C(y,x) dx such that C(x,y)² + S(x,y)² = 1 and S(y,x) = Integral C(y,x)*C(x,y) dy, as a triangle of coefficients T(n,k) read by rows. A367381

Numbers whose base-3 representation has exactly 11 runs. A43591

Numbers n such that number of runs in the base 3 representation of n is congruent to 1 mod 10. A43816

Coefficients in the series (1 + x² + x³ + x⁵ + x⁷ + x¹¹ + x¹³ + ... )/(1 - x - x⁴ - x⁶ - x⁸ - x⁹ - x¹⁰ - x¹² - x¹⁴ - ... ). A58355

E.g.f. G(x,y) = Integral C(x,y)*S(y,x) dx such that C(x,y)² + S(x,y)² = 1 and S(y,x) = Integral C(x,y)*C(y,x) dy, as a triangle of coefficients T(n,k) read by rows. A367382

Primes of the form 2·n² - 1. A66436

E.g.f. S(x,y) = Integral C(x,y)*C(y,x) dx such that C(x,y)² - S(x,y)² = 1 and C(y,x) = 1 + Integral S(y,x)*C(x,y) dy, where S(x,y) = ∑_n>=0 ∑_k=0..n T(n,k) * x^2·n+1-2·k*y^2·k/((2·n+1-2·k)!*(2·k)!), as a triangle of coefficients T(n,k) read by rows. A322220

E.g.f. S(x,y) = Integral C(x,y)*C(y,x) dx such that C(x,y)² + S(x,y)² = 1 and C(y,x) = 1 - Integral S(y,x)*C(x,y) dy, as a triangle of coefficients T(n,k) read by rows. A367380