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Properties of the Number 13906

Thirteen Thousand Nine Hundred Six

Basics

Value: 13905 → 13906 → 13907

Parity: even

Prime: No

Previous Prime: 13903

Next Prime: 13907

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 × 17 × 409

Divisors: 1, 2, 17, 34, 409, 818, 6953, 13906

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 11011001010010

Octal: 33122

Duodecimal: 806A

Hexadecimal: 3652

Square: 193376836

Square Root: 117.92370414806346

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..3 arrays with nondecreasing 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. A250691
T(n,k)=Number of nXk 0..2 arrays with every 0 next to a 1 and every 1 next to a 2 horizontally or antidiagonally, with no adjacent elements equal. A232335
Number of (2+1)X(n+1) 0..3 arrays with nondecreasing 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. A250693
Expansion of e.g.f. 1/(1 - ∑k>=1 sigmak(k) * xk/k!). A352841
Convolution of natural numbers with (1, p(1), p(2), ... ), where p(k) is the k-th prime. A23538
Table read by rows: T(n,k)= z (z') or product of z with its complex conjugate, with z=Sum[binomial[n,t] It, {t,0,k}]. A92821
Number of 3 X n 0..2 arrays with every 0 next to a 1 and every 1 next to a 2 horizontally or antidiagonally, with no adjacent elements equal. A232337
Number of (n+1) X (3+1) 0..3 arrays with nondecreasing 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. A250686
Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 62", based on the 5-celled von Neumann neighborhood. A270081
Indices n of primes p(n), p(n+3) such that p(n)+1 and p(n+3)+1 have the same largest prime factor. A105406