Properties of the Number 50056

Fifty Thousand Fifty-Six

Basics

Value: 50055 → 50056 → 50057

Parity: even

Prime: No

Previous Prime: 50053

Next Prime: 50069

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 ³ × 6257

Divisors: 1, 2, 4, 8, 6257, 12514, 25028, 50056

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1100001110001000

Octal: 141610

Duodecimal: 24B74

Hexadecimal: c388

Square: 2505603136

Square Root: 223.7319825147938

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 T(n,k) of solid standard Young tableaux of n cells and height = k; triangle T(n,k), n>=0, 0<=k<=n, read by rows. A214753

Number of n-node unlabeled rooted trees with thickening limbs and root outdegree (branching factor) 6. A245146

Number of (n+2) X 8 0..2 arrays with every 3 X 3 subblock having three equal elements in a row horizontally, vertically or nw-to-se diagonally exactly three ways, and new values 0..2 introduced in row major order. A204368

Number of -1..1 arrays x(i) of n+1 elements i=1..n+1 with set{t,u,v in 0,1}((x[i+t]+x[j+u]+x[k+v])*(-1)^t+u+v) having two, three, four or five distinct values for every i,j,k<=n. A211527

Number of solid standard Young tableaux of n cells and height five. A273585

Number of solid standard Young tableaux of 2n cells and height n. A273591

a(n) = ∑_k=0..n r₄(k² + 1), where r₄(k) is the number of ways of writing k as a sum of 4 squares (A000118). A333174

a(n) = a(n-1) + a(m) for n >= 4, where m = 2·n - 3 - 2^p+1 and p is the unique integer such that 2^p < n - 1 <= 2^p+1, starting with a(1) = 1, a(2) = 3, and a(3) = 1. A50056

T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically or nw-to-se diagonally exactly three ways, and new values 0..2 introduced in row major order. A204370

Number of (n+2)X(3+2) 0..3 arrays with every 3X3 subblock row and column sum not equal to 0 3 5 6 or 8 and every 3X3 diagonal and antidiagonal sum equal to 0 3 5 6 or 8. A252347