Properties of the Number 84893

Eighty-Four Thousand Eight Hundred Ninety-Three

Basics

Value: 84892 → 84893 → 84894

Parity: odd

Prime: No

Previous Prime: 84871

Next Prime: 84913

Digit Sum: 32

Digital Root: 5

Palindrome: No

Factorization: 23 × 3691

Divisors: 1, 23, 3691, 84893

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4938 Try Today's Challenge

Representations

Binary: 10100101110011101

Octal: 245635

Duodecimal: 41165

Hexadecimal: 14b9d

Square: 7206821449

Square Root: 291.3640334701591

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 nXk 0..4 arrays with each element·equal to the number of its horizontal and vertical neighbors equal to 4,3,2,1,0 for x=0,1,2,3,4. A197217

T(n,k) = count of degree k monomials in the elementary symmetric polynomials e(μ,k) summed over all partitions μ of n. A209669

a(n) = count of monomials, of degree k=n, in the elementary symmetric polynomials e(μ,k) summed over all partitions μ of n. A209671

a(n) = ∑_{k=0..floor(n/8)} binomial(n-4·k,4·k). A348289

Number of nX5 0..4 arrays with each element·equal to the number its horizontal and vertical neighbors equal to 4,3,2,1,0 for x=0,1,2,3,4. A197214

Number of nX6 0..4 arrays with each element·equal to the number its horizontal and vertical neighbors equal to 4,3,2,1,0 for x=0,1,2,3,4. A197215

Decimal expansion of ∏_{j>=1, j≠3} ζ(j/3). A84893

Number of nX6 0..5 arrays with no column j greater than column j-1 in all rows. A212928