Properties of the Number 90381

Ninety Thousand Three Hundred Eighty-One

Basics

Value: 90380 → 90381 → 90382

Parity: odd

Prime: No

Previous Prime: 90379

Next Prime: 90397

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 47 × 641

Divisors: 1, 3, 47, 141, 641, 1923, 30127, 90381

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10110000100001101

Octal: 260415

Duodecimal: 44379

Hexadecimal: 1610d

Square: 8168725161

Square Root: 300.634329377069

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 nX6 0..1 arrays with every element equal to 1, 2, 4, 5 or 7 king-move adjacent elements, with upper left element zero. A298580

Number of nX7 0..1 arrays with every element equal to 1, 2, 4, 5 or 7 king-move adjacent elements, with upper left element zero. A298581

Expansion of (1+4x+7x²)/((1-x)²*(1-x²)). A90381

T(n,k)=Number of nXk 0..1 arrays with every element equal to 1, 2, 4, 5 or 7 king-move adjacent elements, with upper left element zero. A298582

Largest m such that we can partition the set {1,2,...,m} into n subsets with the property that we never have a+b=c for any distinct elements a, b, c in one subset. A72842