3,972,326

2 × 41 × 193 × 251

3,972,326 factors as 2 × 41 × 193 × 251. Its 16 positive divisors give a proper-divisor sum of 2,187,562, so this integer is deficient. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 2 × 41 × 193 × 251

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,159,888

Proper Divisor Sum 2,187,562

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #3972301 ← → #3972329

Radix Representation

Decimal	3972326
Binary	1111001001110011100110 (22 bits)
Octal	0o17116346
Hexadecimal	0x3C9CE6

Divisor Catalog (16)

1 2 41 82 193 251 386 502 7,913 10,291 15,826 20,582 48,443 96,886 1,986,163 3,972,326

Collatz Trajectory (123 steps to reach 1)

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

3,972,326 1,986,163 5,958,490 2,979,245 8,937,736 4,468,868 2,234,434 1,117,217 3,351,652 1,675,826 837,913 2,513,740 1,256,870 628,435 1,885,306 942,653 2,827,960 1,413,980 706,990 353,495 1,060,486 530,243 1,590,730 795,365 2,386,096 1,193,048 596,524 298,262 149,131 447,394 223,697 671,092 335,546 167,773 503,320 251,660 125,830 62,915 188,746 94,373 283,120 141,560 70,780 35,390 17,695 53,086 26,543 79,630 39,815 119,446 59,723 179,170 89,585 268,756 134,378 67,189 201,568 100,784 50,392 25,196

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