Properties of the Number 9805

Nine Thousand Eight Hundred Five

Basics

Value: 9804 → 9805 → 9806

Parity: odd

Prime: No

Previous Prime: 9803

Next Prime: 9811

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 5 × 37 × 53

Divisors: 1, 5, 37, 53, 185, 265, 1961, 9805

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011001001101

Octal: 23115

Duodecimal: 5811

Hexadecimal: 264d

Square: 96138025

Square Root: 99.02019995940222

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

a(n) is the smallest m > 1 such that m divides ∑_k=1..m prime(k)ⁿ. A85450

a(n) = (n+1)*(n² +8·n +6)/6. Number of n-dimensional partitions of 4. Number of terms in 4th derivative of a function composed with itself n times. A8778

a(n) = 3·a(n-1) + 2·a(n-2), with a(0)=1, a(1)=5. A7483

Number of primes of the form 30k + 29 less than 10ⁿ. A91172

Sums of 7 distinct powers of 3. A38469

Numbers n that are the product of three distinct odd primes and x² + y² = n has integer solutions. A264498

Number of subsequences of [ 1,...,n ] in which each odd number has an even neighbor. A7455

Average of squares of successive primes: a(n) = (prime(n+1)² + prime(n)²)/2, with n >= 2. A75892

Values of hypotenuse of primitive Pythagorean triples which can have four different shapes (that is, four different sets of "legs"). A159781

Numbers that are a primitive sum of two squares in more than 2 ways. A281877