Properties of the Number 8249

Eight Thousand Two Hundred Forty-Nine

Basics

Value: 8248 → 8249 → 8250

Parity: odd

Prime: No

Previous Prime: 8243

Next Prime: 8263

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 73 × 113

Divisors: 1, 73, 113, 8249

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000000111001

Octal: 20071

Duodecimal: 4935

Hexadecimal: 2039

Square: 68046001

Square Root: 90.82400563727631

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

Numbers whose multiset multisystem (A302242) is crossing. A324170

Number of compositions of n with parts in N which avoid the adjacent pattern 111. A128695

Number of ordered trees with n edges and no unary or binary nodes. A114997

Sum of the smallest parts of the partitions of n into 10 parts. A326589

Numbers k that divide the sum of digits of 13^k. A175525

Triangle T(n,k), 0<=k<=n, read by rows, defined by: T(n,k)=0 if k>n, T(n,0) = A000108(n); T(n+1,k)= ∑_j=0..n T(n-j,k-1)*binomial(2j+1,j+1). A90285

a(1) = 10, a(n) = smallest number > a(n-1) such that the concatenation of a(n-1) and a(n) is a square. A265150

Positive integers of the form (2·m²+1)/11. A179088

a(n) = lcm(A051612(n), A065387(n)), where A051612(n) = σ(n) - φ(n) and A065387(n) = σ(n) + φ(n). A77100

Positive integers of the form (18·m²+1)/11. A113338