Properties of the Number 89371

Eighty-Nine Thousand Three Hundred Seventy-One

Basics

Value: 89370 → 89371 → 89372

Parity: odd

Prime: Yes

Previous Prime: 89363

Next Prime: 89381

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 89371

Divisors: 1, 89371

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101110100011011

Octal: 256433

Duodecimal: 43877

Hexadecimal: 15d1b

Square: 7987175641

Square Root: 298.9498285666008

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 equal to 0, 1, 2, 3, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A303469

Exponents m such that the decimal expansion of 11^m exhibits its first zero from the right later than any previous exponent. A239015

Number of series-reduced planted achiral trees whose leaves span an initial interval of positive integers appearing with multiplicities an integer partition of n. A317099

G.f.: C(x)*C(2·x²)*C(3·x³)*..., where C(x) is the g.f. for A000108. A309682

Primes of the form 3n³-2. A200847

Number of nX4 0..1 arrays with every element equal to 0, 1, 2, 3, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A303465

Number of 5Xn 0..1 arrays with every element equal to 0, 1, 2, 3, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A303472

Number of divisors of n that do not exceed the abundance of n. A89371