Properties of the Number 73089

Seventy-Three Thousand Eighty-Nine

Basics

Value: 73088 → 73089 → 73090

Parity: odd

Prime: No

Previous Prime: 73079

Next Prime: 73091

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 2707

Divisors: 1, 3, 9, 27, 2707, 8121, 24363, 73089

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001110110000001

Octal: 216601

Duodecimal: 36369

Hexadecimal: 11d81

Square: 5342001921

Square Root: 270.3497734417397

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 -k..k arrays of length n with the sum ahead of each element differing from the sum following that element by k or less. A221967

Leftmost node in rows of the power tree A114622. A114625

Number of -4..4 arrays of length n with the sum ahead of each element differing from the sum following that element by 4 or less. A221963

Number of -n..n arrays of length 6 with the sum ahead of each element differing from the sum following that element by n or less. A221969

a(n) = (1/2)*(4n - 3 - ∑_k=1..n A007400(k)). A73089