3,981,172

2² × 13 × 76561

Starting at 3,981,172, the Collatz iteration reaches 1 after 66 steps. The first transition is 1990586; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 13 × 76561

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 7,503,076

Proper Divisor Sum 3,521,904

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #3981169 ← → #3981181

Radix Representation

Decimal	3981172
Binary	1111001011111101110100 (22 bits)
Octal	0o17137564
Hexadecimal	0x3CBF74

Divisor Catalog (12)

1 2 4 13 26 52 76,561 153,122 306,244 995,293 1,990,586 3,981,172

Collatz Trajectory (66 steps to reach 1)

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

3,981,172 1,990,586 995,293 2,985,880 1,492,940 746,470 373,235 1,119,706 559,853 1,679,560 839,780 419,890 209,945 629,836 314,918 157,459 472,378 236,189 708,568 354,284 177,142 88,571 265,714 132,857 398,572 199,286 99,643 298,930 149,465 448,396 224,198 112,099 336,298 168,149 504,448 252,224 126,112 63,056 31,528 15,764 7,882 3,941 11,824 5,912 2,956 1,478 739 2,218 1,109 3,328 1,664 832 416 208 104 52 26 13 40 20

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