Properties of the Number 47122

Forty-Seven Thousand One Hundred Twenty-Two

Basics

Value: 47121 → 47122 → 47123

Parity: even

Prime: No

Previous Prime: 47119

Next Prime: 47123

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 × 23561

Divisors: 1, 2, 23561, 47122

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011100000010010

Octal: 134022

Duodecimal: 2332A

Hexadecimal: b812

Square: 2220482884

Square Root: 217.07602354935472

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 king permutations on n elements avoiding the mesh pattern (12, {(0,0),(0,1),(0,2),(1,0),(1,2),(2,0),(2,1)}). A383107

Fibonacci sequence beginning 2, 17. A22118

Number of king permutations on n elements avoiding the mesh pattern (12, {(0,1),(0,2),(1,0),(1,2),(2,0),(2,1)}). A383407

Number of Dyck paths of semilength n with strongly unimodal peak heights such that neighboring peaks differ in height by exactly one and first and last peak are at height one. A371926

Number of partitions p of n containing round((min(p) + max(p))/2) as a part. A238486

a(n) = 32·n² - 40·n + 10. A343578

Number of 2nX8 0..2 arrays with values 0..2 introduced in row major order and each element equal to exactly two horizontal and vertical neighbors. A198281

T(n,n), array T as in A047120. A47122