Properties of the Number 71313

Seventy-One Thousand Three Hundred Thirteen

Basics

Value: 71312 → 71313 → 71314

Parity: odd

Prime: No

Previous Prime: 71293

Next Prime: 71317

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 11 × 2161

Divisors: 1, 3, 11, 33, 2161, 6483, 23771, 71313

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001011010010001

Octal: 213221

Duodecimal: 35329

Hexadecimal: 11691

Square: 5085543969

Square Root: 267.04494003818905

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 (n+1)X(k+1) 0..1 arrays with each 2X2 subblock having clockwise pattern 0000 0011 or 0111. A259250

Number of lattice paths from (0,0) to (i,n-2·i) that do not go above the diagonal x=y using steps in {(1,0), (0,1)}. A357654

A Catalan transform of F(n-1)-0ⁿ. A109263

a(n) = (4·n³ + 11·n² + 9·n + 2)/2. A135712

Number of (n+1)X(4+1) 0..1 arrays with each 2X2 subblock having clockwise pattern 0000 0011 or 0111. A259246

Number of (n+1)X(5+1) 0..1 arrays with each 2X2 subblock having clockwise pattern 0000 0011 or 0111. A259247

Trajectory of 48 under prime factor concatenation procedure. A37941

a(n) is the smallest number that cannot be obtained from the numbers {1,3,...,2·n-1} using each number at most once and the operators +, -, *, /, where intermediate subexpressions must be integers. A71313