Properties of the Number 85035

Eighty-Five Thousand Thirty-Five

Basics

Value: 85034 → 85035 → 85036

Parity: odd

Prime: No

Previous Prime: 85027

Next Prime: 85037

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 5 × 5669

Divisors: 1, 3, 5, 15, 5669, 17007, 28345, 85035

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100110000101011

Octal: 246053

Duodecimal: 41263

Hexadecimal: 14c2b

Square: 7230951225

Square Root: 291.6076130693436

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 arrays with each row a permutation of 1..k having at least as many downsteps as the preceding row. A221623

E.g.f. satisfies A(x) = 1 + (exp(x·A(x)³) - 1)/A(x)². A367181

Number of n X n arrays with each row a permutation of 1..n having at least as many downsteps as the preceding row. A221618

Number of n X 4 arrays with each row a permutation of 1..4 having at least as many downsteps as the preceding row. A221619

Number of 4Xn arrays with each row a permutation of 1..n having at least as many downsteps as the preceding row. A221626

Number of prime factors of cyclotomic(n,10), which is A019328(n), the value of the n-th cyclotomic polynomial evaluated at x=10. A85035