3,918,780

2² × 3⁴ × 5 × 41 × 59

3,918,780 factors as 2^2 × 3^4 × 5 × 41 × 59. Its 120 positive divisors give a proper-divisor sum of 8,887,860, so this integer is abundant. The Collatz stopping time is 185 steps.

Prime Factor Structure

Factorization String 2^2 × 3^4 × 5 × 41 × 59

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 12,806,640

Proper Divisor Sum 8,887,860

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3918757 ← → #3918793

Radix Representation

Decimal	3918780
Binary	1110111100101110111100 (22 bits)
Octal	0o16745674
Hexadecimal	0x3BCBBC

Divisor Catalog (60 of 120)

1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 41 45 54 59 60 81 82 90 108 118 123 135 162 164 177 180 205 236 246 270 295 324 354 369 405 410 492 531 540 590 615 708 738 810 820 885 1,062 1,107 1,180 1,230 1,476 1,593 1,620 1,770 1,845

Collatz Trajectory (185 steps to reach 1)

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

3,918,780 1,959,390 979,695 2,939,086 1,469,543 4,408,630 2,204,315 6,612,946 3,306,473 9,919,420 4,959,710 2,479,855 7,439,566 3,719,783 11,159,350 5,579,675 16,739,026 8,369,513 25,108,540 12,554,270 6,277,135 18,831,406 9,415,703 28,247,110 14,123,555 42,370,666 21,185,333 63,556,000 31,778,000 15,889,000 7,944,500 3,972,250 1,986,125 5,958,376 2,979,188 1,489,594 744,797 2,234,392 1,117,196 558,598 279,299 837,898 418,949 1,256,848 628,424 314,212 157,106 78,553 235,660 117,830 58,915 176,746 88,373 265,120 132,560 66,280 33,140 16,570 8,285 24,856

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