3,328,684

2² × 179 × 4649

3,328,684 factors as 2^2 × 179 × 4649. Its 12 positive divisors give a proper-divisor sum of 2,530,316, so this integer is deficient. The Collatz stopping time is 133 steps.

Prime Factor Structure

Factorization String 2^2 × 179 × 4649

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 5,859,000

Proper Divisor Sum 2,530,316

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #3328679 ← → #3328697

Radix Representation

Decimal	3328684
Binary	1100101100101010101100 (22 bits)
Octal	0o14545254
Hexadecimal	0x32CAAC

Divisor Catalog (12)

1 2 4 179 358 716 4,649 9,298 18,596 832,171 1,664,342 3,328,684

Collatz Trajectory (133 steps to reach 1)

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

3,328,684 1,664,342 832,171 2,496,514 1,248,257 3,744,772 1,872,386 936,193 2,808,580 1,404,290 702,145 2,106,436 1,053,218 526,609 1,579,828 789,914 394,957 1,184,872 592,436 296,218 148,109 444,328 222,164 111,082 55,541 166,624 83,312 41,656 20,828 10,414 5,207 15,622 7,811 23,434 11,717 35,152 17,576 8,788 4,394 2,197 6,592 3,296 1,648 824 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593

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