3,785,950

2 × 5² × 7 × 29 × 373

Starting at 3,785,950, the Collatz iteration reaches 1 after 110 steps. The first transition is 1892975; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 5^2 × 7 × 29 × 373

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 8,347,680

Proper Divisor Sum 4,561,730

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #3785939 ← → #3785953

Radix Representation

Decimal	3785950
Binary	1110011100010011011110 (22 bits)
Octal	0o16342336
Hexadecimal	0x39C4DE

Divisor Catalog (48)

1 2 5 7 10 14 25 29 35 50 58 70 145 175 203 290 350 373 406 725 746 1,015 1,450 1,865 2,030 2,611 3,730 5,075 5,222 9,325 10,150 10,817 13,055 18,650 21,634 26,110 54,085 65,275 75,719 108,170 130,550 151,438 270,425 378,595 540,850 757,190 1,892,975 3,785,950

Collatz Trajectory (110 steps to reach 1)

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

3,785,950 1,892,975 5,678,926 2,839,463 8,518,390 4,259,195 12,777,586 6,388,793 19,166,380 9,583,190 4,791,595 14,374,786 7,187,393 21,562,180 10,781,090 5,390,545 16,171,636 8,085,818 4,042,909 12,128,728 6,064,364 3,032,182 1,516,091 4,548,274 2,274,137 6,822,412 3,411,206 1,705,603 5,116,810 2,558,405 7,675,216 3,837,608 1,918,804 959,402 479,701 1,439,104 719,552 359,776 179,888 89,944 44,972 22,486 11,243 33,730 16,865 50,596 25,298 12,649 37,948 18,974 9,487 28,462 14,231 42,694 21,347 64,042 32,021 96,064 48,032 24,016

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