Properties of the Number 3668

Three Thousand Six Hundred Sixty-Eight

Basics

Value: 3667 → 3668 → 3669

Parity: even

Prime: No

Previous Prime: 3659

Next Prime: 3671

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 ² × 7 × 131

Divisors: 1, 2, 4, 7, 14, 28, 131, 262, 524, 917

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111001010100

Octal: 7124

Duodecimal: 2158

Hexadecimal: e54

Square: 13454224

Square Root: 60.56401571890688

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

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

a(n) is the solution to the postage stamp problem with n denominations and 4 stamps. A1214

Expansion of (1/theta₄ - 1)/2. A14968

Row sums of A168281. A168380

Number of points of L1 norm 3 in cubic lattice Zⁿ. A35597

T(n,k)=Number of (n+1)X(k+1) arrays of permutations of 0..(n+1)*(k+1)-1 with each element having directed index change 1,0 0,-1 1,2 or -1,1. A264583

T(n,k)=Number of nXk 0..1 arrays with no 1 equal to more than two of its horizontal, diagonal and antidiagonal neighbors, with the exception of exactly one element. A283726

T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 2, 4, 5 or 7 king-move adjacent elements, with upper left element zero. A298575

Number of series-reduced free pure symmetric identity multifunctions (with empty expressions allowed) with one atom and n positions. A317880

T(n,k)=Unchanging value maps: number of nXk binary arrays indicating the locations of corresponding elements unequal to no king-move neighbor in a random 0..1 nXk array. A219403