3,686,036

2² × 71 × 12979

Starting at 3,686,036, the Collatz iteration reaches 1 after 84 steps. The first transition is 1843018; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 71 × 12979

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 6,541,920

Proper Divisor Sum 2,855,884

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #3686029 ← → #3686063

Radix Representation

Decimal	3686036
Binary	1110000011111010010100 (22 bits)
Octal	0o16037224
Hexadecimal	0x383E94

Divisor Catalog (12)

1 2 4 71 142 284 12,979 25,958 51,916 921,509 1,843,018 3,686,036

Collatz Trajectory (84 steps to reach 1)

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

3,686,036 1,843,018 921,509 2,764,528 1,382,264 691,132 345,566 172,783 518,350 259,175 777,526 388,763 1,166,290 583,145 1,749,436 874,718 437,359 1,312,078 656,039 1,968,118 984,059 2,952,178 1,476,089 4,428,268 2,214,134 1,107,067 3,321,202 1,660,601 4,981,804 2,490,902 1,245,451 3,736,354 1,868,177 5,604,532 2,802,266 1,401,133 4,203,400 2,101,700 1,050,850 525,425 1,576,276 788,138 394,069 1,182,208 591,104 295,552 147,776 73,888 36,944 18,472 9,236 4,618 2,309 6,928 3,464 1,732 866 433 1,300 650

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