3,976,446

2 × 3 × 311 × 2131

3,976,446 factors as 2 × 3 × 311 × 2131. Its 16 positive divisors give a proper-divisor sum of 4,005,762, so this integer is abundant. The Collatz stopping time is 291 steps.

Prime Factor Structure

Factorization String 2 × 3 × 311 × 2131

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 7,982,208

Proper Divisor Sum 4,005,762

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #3976439 ← → #3976459

Radix Representation

Decimal	3976446
Binary	1111001010110011111110 (22 bits)
Octal	0o17126376
Hexadecimal	0x3CACFE

Divisor Catalog (16)

1 2 3 6 311 622 933 1,866 2,131 4,262 6,393 12,786 662,741 1,325,482 1,988,223 3,976,446

Collatz Trajectory (291 steps to reach 1)

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

3,976,446 1,988,223 5,964,670 2,982,335 8,947,006 4,473,503 13,420,510 6,710,255 20,130,766 10,065,383 30,196,150 15,098,075 45,294,226 22,647,113 67,941,340 33,970,670 16,985,335 50,956,006 25,478,003 76,434,010 38,217,005 114,651,016 57,325,508 28,662,754 14,331,377 42,994,132 21,497,066 10,748,533 32,245,600 16,122,800 8,061,400 4,030,700 2,015,350 1,007,675 3,023,026 1,511,513 4,534,540 2,267,270 1,133,635 3,400,906 1,700,453 5,101,360 2,550,680 1,275,340 637,670 318,835 956,506 478,253 1,434,760 717,380 358,690 179,345 538,036 269,018 134,509 403,528 201,764 100,882 50,441 151,324

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