3,727,586

2 × 151 × 12343

Starting at 3,727,586, the Collatz iteration reaches 1 after 172 steps. The first transition is 1863793; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 151 × 12343

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 5,628,864

Proper Divisor Sum 1,901,278

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #3727579 ← → #3727609

Radix Representation

Decimal	3727586
Binary	1110001110000011100010 (22 bits)
Octal	0o16160342
Hexadecimal	0x38E0E2

Divisor Catalog (8)

1 2 151 302 12,343 24,686 1,863,793 3,727,586

Collatz Trajectory (172 steps to reach 1)

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

3,727,586 1,863,793 5,591,380 2,795,690 1,397,845 4,193,536 2,096,768 1,048,384 524,192 262,096 131,048 65,524 32,762 16,381 49,144 24,572 12,286 6,143 18,430 9,215 27,646 13,823 41,470 20,735 62,206 31,103 93,310 46,655 139,966 69,983 209,950 104,975 314,926 157,463 472,390 236,195 708,586 354,293 1,062,880 531,440 265,720 132,860 66,430 33,215 99,646 49,823 149,470 74,735 224,206 112,103 336,310 168,155 504,466 252,233 756,700 378,350 189,175 567,526 283,763 851,290

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