Properties of the Number 85215

Eighty-Five Thousand Two Hundred Fifteen

Basics

Value: 85214 → 85215 → 85216

Parity: odd

Prime: No

Previous Prime: 85213

Next Prime: 85223

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 5 × 13 × 19 × 23

Divisors: 1, 3, 5, 13, 15, 19, 23, 39, 57, 65

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100110011011111

Octal: 246337

Duodecimal: 41393

Hexadecimal: 14cdf

Square: 7261596225

Square Root: 291.9160838323233

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 0..1 arrays with each 1 horizontally or vertically adjacent to 2 or 3 1s. A295213

a(n) = ∑_k=0..n (-1)^k*k·Fibonacci(k), where Fibonacci(k) = A000045(k). A263878

Number of nX5 0..1 arrays with each 1 horizontally or vertically adjacent to 2 or 3 1s. A295210

Number of nX6 0..1 arrays with each 1 horizontally or vertically adjacent to 2 or 3 1s. A295211

Quotient: squarefree kernel of A002944(n) divided by that of A001405. A56611

Square array A(x,y) = the number whose factorial expansion A007623 is that of·and y concatenated; zero expanded as empty string; read by ascending antidiagonals: A(0,0), A(1,0), A(0,1), A(2,0), A(1,1), A(0,2), ... A85215