λ
Prime Ledger

3,284,385

3 × 5 × 13 × 16843
Deficient Odd Composite

3,284,385 has the prime decomposition 3 × 5 × 13 × 16843. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 13 × 16843
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 5,659,584
Proper Divisor Sum 2,375,199
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #3284371 ← → #3284441

Radix Representation

Decimal 3284385
Binary 1100100001110110100001 (22 bits)
Octal 0o14416641
Hexadecimal 0x321DA1

Divisor Catalog (16)

1 3 5 13 15 39 65 195 16,843 50,529 84,215 218,959 252,645 656,877 1,094,795 3,284,385

Collatz Trajectory (84 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

3,284,385 9,853,156 4,926,578 2,463,289 7,389,868 3,694,934 1,847,467 5,542,402 2,771,201 8,313,604 4,156,802 2,078,401 6,235,204 3,117,602 1,558,801 4,676,404 2,338,202 1,169,101 3,507,304 1,753,652 876,826 438,413 1,315,240 657,620 328,810 164,405 493,216 246,608 123,304 61,652 30,826 15,413 46,240 23,120 11,560 5,780 2,890 1,445 4,336 2,168 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98

More profiles

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