3,991,306

2 × 11² × 16493

3,991,306 factors as 2 × 11^2 × 16493. Its 12 positive divisors give a proper-divisor sum of 2,589,800, so this integer is deficient. The Collatz stopping time is 115 steps.

Prime Factor Structure

Factorization String 2 × 11^2 × 16493

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 6,581,106

Proper Divisor Sum 2,589,800

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #3991297 ← → #3991313

Radix Representation

Decimal	3991306
Binary	1111001110011100001010 (22 bits)
Octal	0o17163412
Hexadecimal	0x3CE70A

Divisor Catalog (12)

1 2 11 22 121 242 16,493 32,986 181,423 362,846 1,995,653 3,991,306

Collatz Trajectory (115 steps to reach 1)

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

3,991,306 1,995,653 5,986,960 2,993,480 1,496,740 748,370 374,185 1,122,556 561,278 280,639 841,918 420,959 1,262,878 631,439 1,894,318 947,159 2,841,478 1,420,739 4,262,218 2,131,109 6,393,328 3,196,664 1,598,332 799,166 399,583 1,198,750 599,375 1,798,126 899,063 2,697,190 1,348,595 4,045,786 2,022,893 6,068,680 3,034,340 1,517,170 758,585 2,275,756 1,137,878 568,939 1,706,818 853,409 2,560,228 1,280,114 640,057 1,920,172 960,086 480,043 1,440,130 720,065 2,160,196 1,080,098 540,049 1,620,148 810,074 405,037 1,215,112 607,556 303,778 151,889

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