1,001,682

2 × 3² × 11 × 5059

Starting at 1,001,682, the Collatz iteration reaches 1 after 90 steps. The first transition is 500841; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 11 × 5059

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 2,368,080

Proper Divisor Sum 1,366,398

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #1001669 ← → #1001683

Radix Representation

Decimal	1001682
Binary	11110100100011010010 (20 bits)
Octal	0o3644322
Hexadecimal	0xF48D2

Divisor Catalog (24)

1 2 3 6 9 11 18 22 33 66 99 198 5,059 10,118 15,177 30,354 45,531 55,649 91,062 111,298 166,947 333,894 500,841 1,001,682

Collatz Trajectory (90 steps to reach 1)

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

1,001,682 500,841 1,502,524 751,262 375,631 1,126,894 563,447 1,690,342 845,171 2,535,514 1,267,757 3,803,272 1,901,636 950,818 475,409 1,426,228 713,114 356,557 1,069,672 534,836 267,418 133,709 401,128 200,564 100,282 50,141 150,424 75,212 37,606 18,803 56,410 28,205 84,616 42,308 21,154 10,577 31,732 15,866 7,933 23,800 11,900 5,950 2,975 8,926 4,463 13,390 6,695 20,086 10,043 30,130 15,065 45,196 22,598 11,299 33,898 16,949 50,848 25,424 12,712 6,356

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