Properties of the Number 40644

Forty Thousand Six Hundred Forty-Four

Basics

Value: 40643 → 40644 → 40645

Parity: even

Prime: No

Previous Prime: 40639

Next Prime: 40693

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ² × 1129

Divisors: 1, 2, 3, 4, 6, 9, 12, 18, 36, 1129

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1001111011000100

Octal: 117304

Duodecimal: 1B630

Hexadecimal: 9ec4

Square: 1651934736

Square Root: 201.6035713969373

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

Number of maximal Golomb rulers of length n. A325683

Row sums of A163357 and A163359. A163365

Approximation of the 2-adic integer arctanh(4) up to 2ⁿ. A309767

G.f. satisfies A(x) = x + A(C(x))², where C(x) = x + C(x)² is a g.f. of the Catalan numbers (A000108). A393171

Expansion of φ(-x⁹) * f(-x³)² / f(-x²)³ in powers of·where f(), φ() are Ramanujan θ functions. A298733

a(n) = ∑_i=1..n prime(n*(i - 1) + i). A319012

T(n,k)=Number of n-step one space for components leftwards or up, two space for components rightwards or down asymmetric quasi-queen's tours (antidiagonal moves become knight moves) on a kXk board summed over all starting positions. A187857

G.f. A(x) satisfies A(x-x²) = x + A(x)². A393172

Number of 5-step one space for components leftwards or up, two space for components rightwards or down asymmetric quasi-queen's tours (antidiagonal moves become knight moves) on an n X n board summed over all starting positions. A187860

Continued fraction for sqrt(670). A40644