Properties of the Number 9285

Nine Thousand Two Hundred Eighty-Five

Basics

Value: 9284 → 9285 → 9286

Parity: odd

Prime: No

Previous Prime: 9283

Next Prime: 9293

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 5 × 619

Divisors: 1, 3, 5, 15, 619, 1857, 3095, 9285

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10010001000101

Octal: 22105

Duodecimal: 5459

Hexadecimal: 2445

Square: 86211225

Square Root: 96.35870484808314

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 restricted hexagonal polyominoes with n cells. A2212

Number of twice-partitions of type (Q,P,Q) and weight n. A279790

a(n) = ∑_k=0..n kⁿ * k! * Stirling2(n,k). A122399

Triangle read by rows: T(n,k) = number of lattice paths from (0,0) to (n,k) that do not go below the line y=0 and consist of steps U=(1,1), D=(1,-1) and three types of steps H=(1,0) (left factors of 3-Motzkin steps). A91965

Number of integer partitions of n with no part divisible by all the others. A343341

Number of generalized polyforms on the truncated hexagonal tiling with n cells. A343406

Path-counting array T; each step of a path is (1 right) or (1 up) to a point below line y=x, else (1 right and 1 up) or (1 up) to a point on the line y=x, else (1 left) or (1 up) to a point above line y=x. T(i,j)=number of paths to point (i-j,j), for 1<=j<=i, i >= 1. A55450

Expansion of g.f. A(x) satisfying A(x) = A( x²*(1+x)⁵ ) / x. A369555

Numbers that are the sum of ten fourth powers in ten or more ways. A345603

Numbers that are the sum of ten fourth powers in exactly ten ways. A345862