Properties of the Number 6164

Six Thousand One Hundred Sixty-Four

Basics

Value: 6163 → 6164 → 6165

Parity: even

Prime: No

Previous Prime: 6163

Next Prime: 6173

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 ² × 23 × 67

Divisors: 1, 2, 4, 23, 46, 67, 92, 134, 268, 1541

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100000010100

Octal: 14024

Duodecimal: 3698

Hexadecimal: 1814

Square: 37994896

Square Root: 78.51114570556209

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

Every run of digits of n in base 3 has length 2. A33001

Numbers m such that there are precisely 9 groups of order m. A249552

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 2 4 6 or 7 and every 3X3 column and antidiagonal sum not equal to 0 2 4 6 or 7. A252433

Number of (directed) Hamiltonian paths in the n-ladder graph. A137882

Expansion of 1/∑_k>=0 x^k². A317665

Number of polyominoes with n cells that tile the plane by 180-degree rotation (Conway criterion). A75202

Expansion of ∏_k=1..8 theta₃(q^k), where theta₃() is the Jacobi θ function. A320234

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 2 3 4 6 or 7. A252269

Expansion of (1-x)/(1+x+2·x²). A78050

Number of polyominoes of n cells with both horizontal and vertical symmetries, for which the 180-degree rotational symmetry has an axis that coincides with the center of a square, but without 90-degree rotational symmetry. A351190