Properties of the Number 12828

Twelve Thousand Eight Hundred Twenty-Eight

Basics

Value: 12827 → 12828 → 12829

Parity: even

Prime: No

Previous Prime: 12823

Next Prime: 12829

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ² × 3 × 1069

Divisors: 1, 2, 3, 4, 6, 12, 1069, 2138, 3207, 4276

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11001000011100

Octal: 31034

Duodecimal: 7510

Hexadecimal: 321c

Square: 164557584

Square Root: 113.26076107814215

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 Costas arrays of order n, counting rotations and flips as distinct. A8404

Triangle, read by rows, equal to the matrix inverse of Q=A113381. A114158

Number of achiral combinatorial maps with n edges. A170947

Number of nonnegative solutions to (x₁)² + (x₂)² + ... + (x₆)² <= n. A341401

Square array T(n,k), n >= 1, k >= 0, read by antidiagonals downwards, where T(n,k) = ∑_j=1..n sigma_k(j) * floor(n/j). A356045

Sum of maximal Dyck path prefix lengths of all 4k+3 primes in range ]2ⁿ,2ⁿ⁺¹]. A95107

Number of primitive (period n) periodic palindromic structures of length n using an infinite alphabet. A285042

a(n) = ∑_{k=0..floor(n/2)} C(n-k,k+2)*2^n-k-2*(3/2)^k. A99623

Numbers n such that 2·10ⁿ + 6·R_n + 3 is prime, where R_n = 11...1 is the repunit (A002275) of length n. A102957

T(n,k)=Number of (n+2)X(k+2) 0..5 arrays with every 3X3 subblock commuting with each horizontal and vertical neighbor 3X3 subblock. A186570