Properties of the Number 9845

Nine Thousand Eight Hundred Forty-Five

Basics

Value: 9844 → 9845 → 9846

Parity: odd

Prime: No

Previous Prime: 9839

Next Prime: 9851

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 5 × 11 × 179

Divisors: 1, 5, 11, 55, 179, 895, 1969, 9845

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011001110101

Octal: 23165

Duodecimal: 5845

Hexadecimal: 2675

Square: 96924025

Square Root: 99.22197337283713

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

Plaindromes: numbers whose digits in base 3 are in nondecreasing order. A23745

Numbers n such that sopf(φ(n)) = φ(sopf(n)), where sopf(x) = sum of the distinct prime factors of x. A76531

Expansion of series related to Liouville's Last Theorem: g.f. ∑_t>0 (-1)^t+1 *x^t*(t+1/2) / ( (1-x^t)³ *∏_i=1..t (1-xⁱ) ). A59820

Array read by antidiagonals: T(n,k) is the number of homeomorphically irreducible leaf colored trees with n leaves of k colors. A339779

Number of parts in all partitions of n into odd number of distinct parts. A238131

Products of 3 distinct safe primes. A157354

Third left hand column of triangle A163940. A163943

Numbers k such that 1 + 2^k*k³ is prime. A357612

Number of weak peaks in all peakless Motzkin paths of length n. A247289

Array read by antidiagonals: column k lists the 2-Stöhr sequence composed of terms rejected from column k-1. A271589