3,929,500

2² × 5³ × 29 × 271

Starting at 3,929,500, the Collatz iteration reaches 1 after 79 steps. The first transition is 1964750; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5^3 × 29 × 271

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 8,910,720

Proper Divisor Sum 4,981,220

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #3929479 ← → #3929501

Radix Representation

Decimal	3929500
Binary	1110111111010110011100 (22 bits)
Octal	0o16772634
Hexadecimal	0x3BF59C

Divisor Catalog (48)

1 2 4 5 10 20 25 29 50 58 100 116 125 145 250 271 290 500 542 580 725 1,084 1,355 1,450 2,710 2,900 3,625 5,420 6,775 7,250 7,859 13,550 14,500 15,718 27,100 31,436 33,875 39,295 67,750 78,590 135,500 157,180 196,475 392,950 785,900 982,375 1,964,750 3,929,500

Collatz Trajectory (79 steps to reach 1)

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

3,929,500 1,964,750 982,375 2,947,126 1,473,563 4,420,690 2,210,345 6,631,036 3,315,518 1,657,759 4,973,278 2,486,639 7,459,918 3,729,959 11,189,878 5,594,939 16,784,818 8,392,409 25,177,228 12,588,614 6,294,307 18,882,922 9,441,461 28,324,384 14,162,192 7,081,096 3,540,548 1,770,274 885,137 2,655,412 1,327,706 663,853 1,991,560 995,780 497,890 248,945 746,836 373,418 186,709 560,128 280,064 140,032 70,016 35,008 17,504 8,752 4,376 2,188 1,094 547 1,642 821 2,464 1,232 616 308 154 77 232 116

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