3,997,726

2 × 47 × 71 × 599

3,997,726 factors as 2 × 47 × 71 × 599. Its 16 positive divisors give a proper-divisor sum of 2,223,074, so this integer is deficient. The Collatz stopping time is 141 steps.

Prime Factor Structure

Factorization String 2 × 47 × 71 × 599

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,220,800

Proper Divisor Sum 2,223,074

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #3997723 ← → #3997751

Radix Representation

Decimal	3997726
Binary	1111010000000000011110 (22 bits)
Octal	0o17200036
Hexadecimal	0x3D001E

Divisor Catalog (16)

1 2 47 71 94 142 599 1,198 3,337 6,674 28,153 42,529 56,306 85,058 1,998,863 3,997,726

Collatz Trajectory (141 steps to reach 1)

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

3,997,726 1,998,863 5,996,590 2,998,295 8,994,886 4,497,443 13,492,330 6,746,165 20,238,496 10,119,248 5,059,624 2,529,812 1,264,906 632,453 1,897,360 948,680 474,340 237,170 118,585 355,756 177,878 88,939 266,818 133,409 400,228 200,114 100,057 300,172 150,086 75,043 225,130 112,565 337,696 168,848 84,424 42,212 21,106 10,553 31,660 15,830 7,915 23,746 11,873 35,620 17,810 8,905 26,716 13,358 6,679 20,038 10,019 30,058 15,029 45,088 22,544 11,272 5,636 2,818 1,409 4,228

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