Properties of the Number 82424

Eighty-Two Thousand Four Hundred Twenty-Four

Basics

Value: 82423 → 82424 → 82425

Parity: even

Prime: No

Previous Prime: 82421

Next Prime: 82457

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 ³ × 10303

Divisors: 1, 2, 4, 8, 10303, 20606, 41212, 82424

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100000111111000

Octal: 240770

Duodecimal: 3B848

Hexadecimal: 141f8

Square: 6793715776

Square Root: 287.095802825468

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 integer arrays with each element equal to the number of horizontal, vertical and antidiagonal neighbors less than or equal to itself. A265965

Number of nX2 integer arrays with each element equal to the number of horizontal, vertical and antidiagonal neighbors less than or equal to itself. A265961

Coefficient of s(2n) in s(n,n) * s(n,n) * s(n,n) * s(n,n) * s(n,n) * s(n,n), where s(n,n) is the Schur function indexed by two parts of size n, s(2n) is the Schur function corresponding to the trivial representation and·represents the inner or Kronecker product. A82424