Properties of the Number 81837

Eighty-One Thousand Eight Hundred Thirty-Seven

Basics

Value: 81836 → 81837 → 81838

Parity: odd

Prime: No

Previous Prime: 81817

Next Prime: 81839

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 7 × 433

Divisors: 1, 3, 7, 9, 21, 27, 63, 189, 433, 1299

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011111110101101

Octal: 237655

Duodecimal: 3B439

Hexadecimal: 13fad

Square: 6697294569

Square Root: 286.07166934179276

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

a(n) = A000217(A000217(n))-n². A86602

Number of fixed 9-dimensional polycubes with n cells. A151835

Numbers k such that k²+4, k²+8, and k²+10 are prime. A157929

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 1, 0), (0, 1, -1), (0, 1, 1), (1, 0, 0)}. A150174

Index of record values of A339082. A339173

Let z(n) be e = exp(1.0) = 2.7182.... truncated to n decimal digits after the decimal point; sequence gives maximum element in the continued fraction for z(n). A81837

Square array read by descending antidiagonals: A(n,k) is the number of fixed n-dimensional polyominoes of size k. A385291