Properties of the Number 8298

Eight Thousand Two Hundred Ninety-Eight

Basics

Value: 8297 → 8298 → 8299

Parity: even

Prime: No

Previous Prime: 8297

Next Prime: 8311

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ² × 461

Divisors: 1, 2, 3, 6, 9, 18, 461, 922, 1383, 2766

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10000001101010

Octal: 20152

Duodecimal: 4976

Hexadecimal: 206a

Square: 68856804

Square Root: 91.09335870413386

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..2 arrays with nondecreasing min(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. A250994

T(n,k)=Number of nXk 0..4 arrays with each element·equal to the number of its horizontal and vertical neighbors equal to 0,2,1,0,0 for x=0,1,2,3,4. A198185

Sum of number of divisors of x^y for each x >= 1, y >= 0, x + y = n. A343657

Numbers n such that primorial(n)/2 - 1024 is prime. A139456

Number of partitions of n having twice as many even parts as odd. A239004

Numbers n such that σ(n+σ(n)) = 4*σ(n). A246911

G.f. A(x) satisfies: A(x) = A(x² - x⁵)/x. A350477

Expansion of g.f.: 1/((1 - x² - x³ - x⁴ - x⁵ - x⁶ - x⁷)*(1 + x + x² + x³ + x⁴ + x⁵ - x⁷)). A147605

Number of integer partitions of n whose parts cannot be arranged into a (not necessarily square) matrix with equal row-sums and equal column-sums. A323348

Irregular table read by rows: T(n,k) is the number of k-sided polygons, for n>=1 and k>=3, in a hexagon when straight line segments connect the n-1 points between each corner that divide each edge into n equal parts to the n-1 points on the edge on the opposite side of the hexagon. A367665