Properties of the Number 50454

Fifty Thousand Four Hundred Fifty-Four

Basics

Value: 50453 → 50454 → 50455

Parity: even

Prime: No

Previous Prime: 50441

Next Prime: 50459

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ² × 2803

Divisors: 1, 2, 3, 6, 9, 18, 2803, 5606, 8409, 16818

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1100010100010110

Octal: 142426

Duodecimal: 25246

Hexadecimal: c516

Square: 2545606116

Square Root: 224.6196785680186

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

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock diagonal sum minus antidiagonal minimum nondecreasing horizontally and vertically. A254483

O.g.f.: ∑_n>=0 3*(n+3)^n-1 * xⁿ / ∏_k=1..n (1+k·x). A196556

Index of starting position of n-th generation of terms in A063882. A132174

Number of (n+2)X(2+2) 0..1 arrays with every 3X3 subblock diagonal sum minus antidiagonal minimum nondecreasing horizontally and vertically. A254477

Number of (n+2) X (3+2) 0..1 arrays with every 3 X 3 subblock diagonal sum minus antidiagonal minimum nondecreasing horizontally and vertically. A254478

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 1, 0), (0, 1, -1), (1, 0, 0), (1, 1, 1)}. A150771

One of the two successive approximations up to 7ⁿ for the 7-adic integer sqrt(2). These are the numbers congruent to 4 mod 7 (except for the initial 0). A290559

a(n) = ∑_{d∣n, d=3 mod 4} d³. A50454

Number of 4Xn 0..3 arrays x(i,j) with each element horizontally, diagonally or antidiagonally next to at least one element with value (x(i,j)+1) mod 4, no adjacent elements equal, and upper left element zero. A231249