3,993,727

271 × 14737

Starting at 3,993,727, the Collatz iteration reaches 1 after 167 steps. The first transition is 11981182; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 271 × 14737

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 4,008,736

Proper Divisor Sum 15,009

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #3993721 ← → #3993733

Radix Representation

Decimal	3993727
Binary	1111001111000001111111 (22 bits)
Octal	0o17170177
Hexadecimal	0x3CF07F

Divisor Catalog (4)

1 271 14,737 3,993,727

Collatz Trajectory (167 steps to reach 1)

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

3,993,727 11,981,182 5,990,591 17,971,774 8,985,887 26,957,662 13,478,831 40,436,494 20,218,247 60,654,742 30,327,371 90,982,114 45,491,057 136,473,172 68,236,586 34,118,293 102,354,880 51,177,440 25,588,720 12,794,360 6,397,180 3,198,590 1,599,295 4,797,886 2,398,943 7,196,830 3,598,415 10,795,246 5,397,623 16,192,870 8,096,435 24,289,306 12,144,653 36,433,960 18,216,980 9,108,490 4,554,245 13,662,736 6,831,368 3,415,684 1,707,842 853,921 2,561,764 1,280,882 640,441 1,921,324 960,662 480,331 1,440,994 720,497 2,161,492 1,080,746 540,373 1,621,120 810,560 405,280 202,640 101,320 50,660 25,330

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