Properties of the Number 48567

Forty-Eight Thousand Five Hundred Sixty-Seven

Basics

Value: 48566 → 48567 → 48568

Parity: odd

Prime: No

Previous Prime: 48563

Next Prime: 48571

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 3 × 16189

Divisors: 1, 3, 16189, 48567

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 1011110110110111

Octal: 136667

Duodecimal: 24133

Hexadecimal: bdb7

Square: 2358753489

Square Root: 220.3792186209943

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 unequal to 0, 1, 2, 4, 5 or 6 king-move adjacent elements, with upper left element zero. A305642

a(n) = Sum{T(i,j)}, 0<=j<=i, 0<=i<=n, T given by A026907. A26917

Number of sets of nonempty words with a total of n letters over ternary alphabet such that within each word every letter of the alphabet is at least as frequent as the subsequent alphabet letter. A340410

Expansion of g.f. 1/(1-(x+x²+x³+x⁴+x⁶+x⁷)). A189101

Number of nX5 0..1 arrays with every element unequal to 0, 1, 2, 4, 5 or 6 king-move adjacent elements, with upper left element zero. A305639

Number of nX6 0..1 arrays with every element unequal to 0, 1, 2, 4, 5 or 6 king-move adjacent elements, with upper left element zero. A305640

a(n+1) is next smallest nontrivial cube beginning with a(n), initial cube is 27. A48567

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