Properties of the Number 75845

Seventy-Five Thousand Eight Hundred Forty-Five

Basics

Value: 75844 → 75845 → 75846

Parity: odd

Prime: No

Previous Prime: 75833

Next Prime: 75853

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 5 × 7 × 11 × 197

Divisors: 1, 5, 7, 11, 35, 55, 77, 197, 385, 985

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10010100001000101

Octal: 224105

Duodecimal: 37A85

Hexadecimal: 12845

Square: 5752464025

Square Root: 275.3997095132818

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 integer partitions (of any nonnegative integer) whose sum minus the lesser of their maximum part and their number of parts is n. A325232

Number of distinct values of ∑_i=0..n x(i)*binomial(n,i), where the x(i) have values in 0..2. A205537

a(n) = K₃(n) = ∑_k>=0 A090285(3,k)*2^k*binomial(n,k). a(n) = (4·n³+30·n²+56·n+15)/3. A90294

Dirichlet convolution of 3^n-1 with Catalan numbers. A34755

Associated to determinants of skew-symmetric matrices related to Catalan-numbers or central binomial coefficients. A75845