Properties of the Number 7317

Seven Thousand Three Hundred Seventeen

Basics

Value: 7316 → 7317 → 7318

Parity: odd

Prime: No

Previous Prime: 7309

Next Prime: 7321

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 271

Divisors: 1, 3, 9, 27, 271, 813, 2439, 7317

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110010010101

Octal: 16225

Duodecimal: 4299

Hexadecimal: 1c95

Square: 53538489

Square Root: 85.53946457629952

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

Integers that need 6 iterations of the map x->A352172(x) to reach 1. A352264

a(n) = 10·n²+n. A55437

Cascadence of (1+x)³; a triangle, read by rows of 3n+1 terms, that retains its original form upon convolving each row with [1,3,3,1] and then letting excess terms spill over from each row into the initial positions of the next row such that only 3n+1 terms remain in row n for n>=0. A120919

Divisors of 10¹⁵ - 1. A111117

Number of partitions p of n such that (number of even numbers in p) > 2*(number of odd numbers in p). A241645

Number of factorizations with 3 levels of parentheses indexed by prime signatures. A050340(A025487). A50341

Nonnegative k such that 3·k + 1 is a perfect cube. A121628

a(n) = floor(n³/3). A131476

Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where A(n,k) = n! * ∑_j=0..n (-k)^n-j * binomial(j+k,j)/(n-j)!. A383341

Expansion of e.g.f. exp(-3·x) / (1-x)⁴. A383378