Properties of the Number 82251

Eighty-Two Thousand Two Hundred Fifty-One

Basics

Value: 82250 → 82251 → 82252

Parity: odd

Prime: No

Previous Prime: 82241

Next Prime: 82261

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 13 × 19 × 37

Divisors: 1, 3, 9, 13, 19, 37, 39, 57, 111, 117

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100000101001011

Octal: 240513

Duodecimal: 3B723

Hexadecimal: 1414b

Square: 6765227001

Square Root: 286.79435140881003

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

Binomial coefficient binomial(n,4) = n*(n-1)*(n-2)*(n-3)/24. A332

4-dimensional analog of centered polygonal numbers. A6325

Number of intersections of diagonals in the interior of a regular n-gon. A6561

Number of interior points that are the intersections of exactly two chords in the configuration A006561(n). A292104

Binomial coefficients binomial(2·n-3,4). A53126

a(n) = 5·binomial(7·n+5,n)/(7·n+5). A233834

a(n) = A001512(n)/24 = (5·n+1)*(5·n+2)*(5·n+3)*(5·n+4)/24. A151989

Number of unoriented colorings of the 8 cubic facets of a tesseract or of the 8 vertices of a hyperoctahedron. A337957

Binomial coefficient C(n,35). A10988

Triangle where the g.f. of column k is 1/(1-x)^k² for k>=1, as read by rows n>=1. A214398