3,926,676

2² × 3 × 13 × 25171

Starting at 3,926,676, the Collatz iteration reaches 1 after 198 steps. The first transition is 1963338; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 13 × 25171

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 9,867,424

Proper Divisor Sum 5,940,748

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #3926651 ← → #3926707

Radix Representation

Decimal	3926676
Binary	1110111110101010010100 (22 bits)
Octal	0o16765224
Hexadecimal	0x3BEA94

Divisor Catalog (24)

1 2 3 4 6 12 13 26 39 52 78 156 25,171 50,342 75,513 100,684 151,026 302,052 327,223 654,446 981,669 1,308,892 1,963,338 3,926,676

Collatz Trajectory (198 steps to reach 1)

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

3,926,676 1,963,338 981,669 2,945,008 1,472,504 736,252 368,126 184,063 552,190 276,095 828,286 414,143 1,242,430 621,215 1,863,646 931,823 2,795,470 1,397,735 4,193,206 2,096,603 6,289,810 3,144,905 9,434,716 4,717,358 2,358,679 7,076,038 3,538,019 10,614,058 5,307,029 15,921,088 7,960,544 3,980,272 1,990,136 995,068 497,534 248,767 746,302 373,151 1,119,454 559,727 1,679,182 839,591 2,518,774 1,259,387 3,778,162 1,889,081 5,667,244 2,833,622 1,416,811 4,250,434 2,125,217 6,375,652 3,187,826 1,593,913 4,781,740 2,390,870 1,195,435 3,586,306 1,793,153 5,379,460

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