3,979,436

2² × 19 × 52361

3,979,436 factors as 2^2 × 19 × 52361. Its 12 positive divisors give a proper-divisor sum of 3,351,244, so this integer is deficient. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 2^2 × 19 × 52361

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 7,330,680

Proper Divisor Sum 3,351,244

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #3979433 ← → #3979463

Radix Representation

Decimal	3979436
Binary	1111001011100010101100 (22 bits)
Octal	0o17134254
Hexadecimal	0x3CB8AC

Divisor Catalog (12)

1 2 4 19 38 76 52,361 104,722 209,444 994,859 1,989,718 3,979,436

Collatz Trajectory (123 steps to reach 1)

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

3,979,436 1,989,718 994,859 2,984,578 1,492,289 4,476,868 2,238,434 1,119,217 3,357,652 1,678,826 839,413 2,518,240 1,259,120 629,560 314,780 157,390 78,695 236,086 118,043 354,130 177,065 531,196 265,598 132,799 398,398 199,199 597,598 298,799 896,398 448,199 1,344,598 672,299 2,016,898 1,008,449 3,025,348 1,512,674 756,337 2,269,012 1,134,506 567,253 1,701,760 850,880 425,440 212,720 106,360 53,180 26,590 13,295 39,886 19,943 59,830 29,915 89,746 44,873 134,620 67,310 33,655 100,966 50,483 151,450

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