4,082,706

2 × 3² × 226817

Starting at 4,082,706, the Collatz iteration reaches 1 after 123 steps. The first transition is 2041353; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 226817

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 8,845,902

Proper Divisor Sum 4,763,196

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #4082693 ← → #4082711

Radix Representation

Decimal	4082706
Binary	1111100100110000010010 (22 bits)
Octal	0o17446022
Hexadecimal	0x3E4C12

Divisor Catalog (12)

1 2 3 6 9 18 226,817 453,634 680,451 1,360,902 2,041,353 4,082,706

Collatz Trajectory (123 steps to reach 1)

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

4,082,706 2,041,353 6,124,060 3,062,030 1,531,015 4,593,046 2,296,523 6,889,570 3,444,785 10,334,356 5,167,178 2,583,589 7,750,768 3,875,384 1,937,692 968,846 484,423 1,453,270 726,635 2,179,906 1,089,953 3,269,860 1,634,930 817,465 2,452,396 1,226,198 613,099 1,839,298 919,649 2,758,948 1,379,474 689,737 2,069,212 1,034,606 517,303 1,551,910 775,955 2,327,866 1,163,933 3,491,800 1,745,900 872,950 436,475 1,309,426 654,713 1,964,140 982,070 491,035 1,473,106 736,553 2,209,660 1,104,830 552,415 1,657,246 828,623 2,485,870 1,242,935 3,728,806 1,864,403 5,593,210

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