Properties of the Number 47634

Forty-Seven Thousand Six Hundred Thirty-Four

Basics

Value: 47633 → 47634 → 47635

Parity: even

Prime: No

Previous Prime: 47629

Next Prime: 47639

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 17 × 467

Divisors: 1, 2, 3, 6, 17, 34, 51, 102, 467, 934

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011101000010010

Octal: 135022

Duodecimal: 23696

Hexadecimal: ba12

Square: 2268997956

Square Root: 218.2521477557552

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

a(n) is the number of 2 X 2 matrices with elements 1..n where at least one row, at least one column and at least one of the two diagonals is strictly increasing. A391092

Number of binary min-heaps on n elements from the set {0,1} that give a max-heap when reversed. A379272

Triangle T, read by rows, where the n-th diagonal of T equals the BINOMIAL transform of the (n-1)-th diagonal of T² for n>=1, with the zeroth diagonal set to all 1's and where T² denotes the matrix square of T. A141712

Matrix square of triangle T = A141712, where the n-th diagonal of T equals the BINOMIAL transform of the (n-1)-th diagonal of T². A141715

θ series of 14-dimensional lattice C2 X S8 with minimal norm 4. A47634