Properties of the Number 48579

Forty-Eight Thousand Five Hundred Seventy-Nine

Basics

Value: 48578 → 48579 → 48580

Parity: odd

Prime: No

Previous Prime: 48571

Next Prime: 48589

Digit Sum: 33

Digital Root: 6

Palindrome: No

Factorization: 3 × 16193

Divisors: 1, 3, 16193, 48579

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011110111000011

Octal: 136703

Duodecimal: 24143

Hexadecimal: bdc3

Square: 2359919241

Square Root: 220.40644273704888

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 set partitions of [n] having exactly ten pairs (m,m+1) such that m is in some block b and m+1 is in block b+1. A271797

Number of (n+2) X (7+2) 0..3 arrays with every 3 X 3 subblock row and diagonal sum equal to 0 1 3 6 or 7 and every 3 X 3 column and antidiagonal sum not equal to 0 1 3 6 or 7. A252304

Number of (7+2)X(n+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 1 3 6 or 7 and every 3X3 column and antidiagonal sum not equal to 0 1 3 6 or 7. A252312

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 609", based on the 5-celled von Neumann neighborhood. A273210

Number of (n+2)X(n+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 1 3 6 or 7 and every 3X3 column and antidiagonal sum not equal to 0 1 3 6 or 7. A252297

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 1 3 6 or 7 and every 3X3 column and antidiagonal sum not equal to 0 1 3 6 or 7. A252305

Pisot sequence L(3,8). A48579