Properties of the Number 39845

Thirty-Nine Thousand Eight Hundred Forty-Five

Basics

Value: 39844 → 39845 → 39846

Parity: odd

Prime: No

Previous Prime: 39841

Next Prime: 39847

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 5 × 13 × 613

Divisors: 1, 5, 13, 65, 613, 3065, 7969, 39845

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001101110100101

Octal: 115645

Duodecimal: 1B085

Hexadecimal: 9ba5

Square: 1587624025

Square Root: 199.6121238802894

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

Least k such that the k-th squarefree number has binary expansion of length n. Index of the smallest squarefree number >= 2ⁿ. A372540

Least k such that the k-th squarefree number has exactly n zeros in its binary expansion. A372473

a(n) = a(n - 1) - 2·a(n - 2) + a(n - 3) - 4·a(n - 4) + 2·a(n - 5). A122581

Indices of records in A087664. A87668

a(n)=sqrt(A145848(n)). A146991

Smallest prime p such that p^p is a divisor of A380459(A005117(n)), or 1 if no such factor exists, where A380459(n) = ∏_d∣n A276086(n/d)^A349394(d) and A005117 lists the squarefree numbers. A380529

Number of partitions satisfying cn(0,5) <= cn(1,5) + cn(2,5) + cn(3,5) and cn(0,5) <= cn(4,5) + cn(2,5) + cn(3,5). A39845