3,991,596

2² × 3 × 7 × 19 × 41 × 61

3,991,596 factors as 2^2 × 3 × 7 × 19 × 41 × 61. Its 96 positive divisors give a proper-divisor sum of 7,674,324, so this integer is abundant. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 19 × 41 × 61

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 11,665,920

Proper Divisor Sum 7,674,324

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #3991579 ← → #3991601

Radix Representation

Decimal	3991596
Binary	1111001110100000101100 (22 bits)
Octal	0o17164054
Hexadecimal	0x3CE82C

Divisor Catalog (60 of 96)

1 2 3 4 6 7 12 14 19 21 28 38 41 42 57 61 76 82 84 114 122 123 133 164 183 228 244 246 266 287 366 399 427 492 532 574 732 779 798 854 861 1,148 1,159 1,281 1,558 1,596 1,708 1,722 2,318 2,337 2,501 2,562 3,116 3,444 3,477 4,636 4,674 5,002 5,124 5,453

Collatz Trajectory (123 steps to reach 1)

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

3,991,596 1,995,798 997,899 2,993,698 1,496,849 4,490,548 2,245,274 1,122,637 3,367,912 1,683,956 841,978 420,989 1,262,968 631,484 315,742 157,871 473,614 236,807 710,422 355,211 1,065,634 532,817 1,598,452 799,226 399,613 1,198,840 599,420 299,710 149,855 449,566 224,783 674,350 337,175 1,011,526 505,763 1,517,290 758,645 2,275,936 1,137,968 568,984 284,492 142,246 71,123 213,370 106,685 320,056 160,028 80,014 40,007 120,022 60,011 180,034 90,017 270,052 135,026 67,513 202,540 101,270 50,635 151,906

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