Properties of the Number 39306

Thirty-Nine Thousand Three Hundred Six

Basics

Value: 39305 → 39306 → 39307

Parity: even

Prime: No

Previous Prime: 39301

Next Prime: 39313

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 6551

Divisors: 1, 2, 3, 6, 6551, 13102, 19653, 39306

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1001100110001010

Octal: 114612

Duodecimal: 1A8B6

Hexadecimal: 998a

Square: 1544961636

Square Root: 198.257408436608

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..2 arrays with no 2 X 2 subblock having the number of clockwise edge increases equal to the number of counterclockwise edge increases in its adjacent leftward or upward neighbors. A206277

a(n) = n³ + 2. A84380

Numbers k such that the three second-degree cyclotomic polynomials x² + 1, x² - x + 1 and x² + x + 1 are simultaneously prime when evaluated at x=k. A87277

a(n) = (n-1)*(n-2)*(n-3) + n. A34324

a(n) = smallest k such that k! ends in 2ⁿ, not counting the trailing zeros. A58885

Number of (n+1) X 4 0..2 arrays with no 2 X 2 subblock having the number of clockwise edge increases equal to the number of counterclockwise edge increases in its adjacent leftward or upward neighbors. A206272

Number of (n+1) X 5 0..2 arrays with no 2 X 2 subblock having the number of clockwise edge increases equal to the number of counterclockwise edge increases in its adjacent leftward or upward neighbors. A206273

Number of distinct quadratic residues mod 9ⁿ. A39306

Number of (n+1)X6 0..1 arrays with the sums of 2X2 subblocks nondecreasing rightwards and downwards. A204036

Number of (n+1)X(3+1) 0..2 arrays with nondecreasing min(x(i,j),x(i,j-1)) in the i direction and nondecreasing absolute value of x(i,j)-x(i-1,j) in the j direction. A250989