Properties of the Number 51006

Fifty-One Thousand Six

Basics

Value: 51005 → 51006 → 51007

Parity: even

Prime: No

Previous Prime: 51001

Next Prime: 51031

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 8501

Divisors: 1, 2, 3, 6, 8501, 17002, 25503, 51006

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1100011100111110

Octal: 143476

Duodecimal: 25626

Hexadecimal: c73e

Square: 2601612036

Square Root: 225.84507964531792

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 nXk 0..1 arrays with every element equal to 1, 2, 3, 5 or 6 king-move adjacent elements, with upper left element zero. A298389

T(n,k)=Number of nXk 0..1 arrays with every element equal to 1, 2, 3, 5, 6 or 7 king-move adjacent elements, with upper left element zero. A299307

Number of Dyck paths of semilength n avoiding the pattern U⁴ D⁴ U D. A225691

Number of nX3 0..1 arrays with every element equal to 1, 2, 3, 5 or 6 king-move adjacent elements, with upper left element zero. A298384

a(n) = a(n-1) + (n-2)*a(n-2) + a(n-3) starting a(0)=0, a(1)=a(2)=1. A121956

Prime constant: decimal value of (A010051 interpreted as a binary number). A51006