Properties of the Number 85330

Eighty-Five Thousand Three Hundred Thirty

Basics

Value: 85329 → 85330 → 85331

Parity: even

Prime: No

Previous Prime: 85313

Next Prime: 85331

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 × 5 × 7 × 23 × 53

Divisors: 1, 2, 5, 7, 10, 14, 23, 35, 46, 53

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100110101010010

Octal: 246522

Duodecimal: 4146A

Hexadecimal: 14d52

Square: 7281208900

Square Root: 292.11299183706296

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

a(n) is the number of nonnegative integers k less than 10ⁿ such that the decimal representation of k lacks at least one of the digits 1,2 and at least one of the digits 3,4,5,6,7,8,9. A125880

a(n) = n*(n+1)*(3·n²+n-1)/6. A103220

Second elementary symmetric function of the first n terms of (1,1,2,2,3,3,4,4,...). A203246

Number of n X n binary arrays symmetric about main diagonal with all ones connected only in a 3X3 plus 2,1 2,2 2,3 1,2 3,2. A146000

Number of n X n binary arrays symmetric about the diagonal and under 90-degree rotation with all ones connected only in a 3 X 3 "plus" shape (e.g., consisting of the points at the coordinates (2,1), (2,2), (2,3), (1,2), (3,2)). A146002

Number of walks within N² (the first quadrant of Z²) starting at (0,0), ending on the vertical axis and consisting of n steps taken from {(-1, 1), (0, -1), (1, -1), (1, 0), (1, 1)}. A151461

Where records occur in A085068. A85330