Properties of the Number 13406

Thirteen Thousand Four Hundred Six

Basics

Value: 13405 → 13406 → 13407

Parity: even

Prime: No

Previous Prime: 13399

Next Prime: 13411

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 2 × 6703

Divisors: 1, 2, 6703, 13406

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11010001011110

Octal: 32136

Duodecimal: 7912

Hexadecimal: 345e

Square: 179720836

Square Root: 115.78428218026832

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

Number of binary words of length n with all distinct runs. A351016

Number of partitions of n containing a clique of size 3. A183560

Maximum number of ways in which a set of integer-sided squares can tile an n X 4 rectangle. A362145

Numerators of continued fraction convergents to sqrt(183). A41338

a(1)=1, a(n+1) = a(n) + spf(∑_i=1..n a(i)), where spf=A020639 (smallest prime factor). A80180

G.f.: ∑_n>=0 ((1+x)ⁿ⁺¹ - 1)ⁿ. A321089

Squarefree semiprimes (products of two distinct primes) between sphenic numbers (products of three distinct primes). A362507

a(n) = ∑_j=1..n ∑_k=1..n φ(n·j*k) / φ(n·k). A372669

Irregular array read by rows: row k (k>=1) contains k² numbers, formed by filling in a k X k square by upwards antidiagonals so entries in all rows, columns, diagonals, antidiagonals are distinct, and then reading that square across rows. A308881

Number of nX4 0..4 arrays with each element·equal to the number its horizontal and vertical neighbors equal to 2,1,1,0,0 for x=0,1,2,3,4. A197446