Properties of the Number 50941

Fifty Thousand Nine Hundred Forty-One

Basics

Value: 50940 → 50941 → 50942

Parity: odd

Prime: No

Previous Prime: 50929

Next Prime: 50951

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 11 ² × 421

Divisors: 1, 11, 121, 421, 4631, 50941

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1100011011111101

Octal: 143375

Duodecimal: 25591

Hexadecimal: c6fd

Square: 2594985481

Square Root: 225.7011298155151

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) = n plus sum of previous three terms. A62544

E.g.f.: S(x,q) = Integral C(x,q) * C(q·x,q) dx, such that C(x,q)² - S(x,q)² = 1, where S(x,q) = ∑_n>=0 ∑_{k=0..n*(n+1)/2} T(n,k)*xⁿ*y^k/n!, as an irregular triangle of coefficients T(n,k) read by rows. A322219

Number of tilings of a 3 X n rectangle using V (2m+1)-ominoes (m >= 0) in standard orientation. A322496

Numbers that are not the sum of consecutive triangular numbers. A50941

Composite numbers m for which L(p(i)/p(j)) = 1 for all i, j, where p(k) are the prime factors of m and L(x/y) is the Legendre symbol of·and y, defined to be 1 if·is a quadratic residue (mod y) and -1 if·is a quadratic non-residue (mod y). A276525

E.g.f.: C(x,q) = 1 + Integral S(x,q) * C(q·x,q) dx, such that C(x,q)² - S(x,q)² = 1, where C(x,q) = ∑_n>=0 ∑_{k=0..n*(n-1)/2} T(n,k)*xⁿ*y^k/n!, as an irregular triangle of coefficients T(n,k) read by rows. A322218

Number of 5Xn 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 1 0 and 1 0 1 vertically. A207469