Properties of the Number 16848

Sixteen Thousand Eight Hundred Forty-Eight

Basics

Value: 16847 → 16848 → 16849

Parity: even

Prime: No

Previous Prime: 16843

Next Prime: 16871

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ⁴ × 3 ⁴ × 13

Divisors: 1, 2, 3, 4, 6, 8, 9, 12, 13, 16

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100000111010000

Octal: 40720

Duodecimal: 9900

Hexadecimal: 41d0

Square: 283855104

Square Root: 129.79984591670362

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 reduced words of length n in the Weyl group D₈. A162211

13 times the squares: a(n) = 13·n². A152742

Coefficients in expansion of Eisenstein series -q·E'_2. A76835

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum unequal to 4 or 5 and every diagonal and antidiagonal sum equal to 4 or 5. A251905

Expansion of g.f. A(x,y) satisfying y/x = ∑_n=-oo..+oo x^n*(3·n+1/2) * (A(x,y)^3·n - 1/A(x,y)^3·n+1), as a triangle read by rows. A361050

Triangle T, read by rows, where column k of T equals (k+1)*(column k of T²) when shifted to have an initial '1'; i.e., T(n,k) = (k+1)*[T²](n-1,k) for n>k>=0, with T(n,n)=1 for n>=0. A123305

Numbers of the form (6ⁱ)*(13^j), with i, j >= 0. A107710

Column 2 of triangle A123305. A123308

Numbers that have exactly two exponents in their prime factorization that are equal to 4. A386805

T(n,k) is the number of (n+1) X (k+1) 0..7 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 5 (constant-stress 1 X 1 tilings). A234702