4,082,908

2² × 53 × 19259

Starting at 4,082,908, the Collatz iteration reaches 1 after 198 steps. The first transition is 2041454; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 53 × 19259

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 7,280,280

Proper Divisor Sum 3,197,372

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #4082879 ← → #4082909

Radix Representation

Decimal	4082908
Binary	1111100100110011011100 (22 bits)
Octal	0o17446334
Hexadecimal	0x3E4CDC

Divisor Catalog (12)

1 2 4 53 106 212 19,259 38,518 77,036 1,020,727 2,041,454 4,082,908

Collatz Trajectory (198 steps to reach 1)

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

4,082,908 2,041,454 1,020,727 3,062,182 1,531,091 4,593,274 2,296,637 6,889,912 3,444,956 1,722,478 861,239 2,583,718 1,291,859 3,875,578 1,937,789 5,813,368 2,906,684 1,453,342 726,671 2,180,014 1,090,007 3,270,022 1,635,011 4,905,034 2,452,517 7,357,552 3,678,776 1,839,388 919,694 459,847 1,379,542 689,771 2,069,314 1,034,657 3,103,972 1,551,986 775,993 2,327,980 1,163,990 581,995 1,745,986 872,993 2,618,980 1,309,490 654,745 1,964,236 982,118 491,059 1,473,178 736,589 2,209,768 1,104,884 552,442 276,221 828,664 414,332 207,166 103,583 310,750 155,375

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