Properties of the Number 84097

Eighty-Four Thousand Ninety-Seven

Basics

Value: 84096 → 84097 → 84098

Parity: odd

Prime: No

Previous Prime: 84089

Next Prime: 84121

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 13 × 6469

Divisors: 1, 13, 6469, 84097

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100100010000001

Octal: 244201

Duodecimal: 40801

Hexadecimal: 14881

Square: 7072305409

Square Root: 289.99482754007875

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 1X5 integer matrices with each row summing to zero, row elements in nondecreasing order, rows in lexicographically nondecreasing order, and the sum of squares of the elements <= 2·n² (number of collections of 1 zero-sum 5-vectors with total modulus squared not more than 2·n², ignoring vector and component permutations). A192692

Square array whose rows have e.g.f. exp(x)*cosh(sqrt(k)*x), k>=0, read by ascending antidiagonals. A84097