8,944,012

2² × 7 × 11 × 71 × 409

Starting at 8,944,012, the Collatz iteration reaches 1 after 62 steps. The first transition is 4472006; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 7 × 11 × 71 × 409

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 19,837,440

Proper Divisor Sum 10,893,428

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #8944009 ← → #8944051

Radix Representation

Decimal	8944012
Binary	100010000111100110001100 (24 bits)
Octal	0o42074614
Hexadecimal	0x88798C

Divisor Catalog (48)

1 2 4 7 11 14 22 28 44 71 77 142 154 284 308 409 497 781 818 994 1,562 1,636 1,988 2,863 3,124 4,499 5,467 5,726 8,998 10,934 11,452 17,996 21,868 29,039 31,493 58,078 62,986 116,156 125,972 203,273 319,429 406,546 638,858 813,092 1,277,716 2,236,003 4,472,006 8,944,012

Collatz Trajectory (62 steps to reach 1)

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

8,944,012 4,472,006 2,236,003 6,708,010 3,354,005 10,062,016 5,031,008 2,515,504 1,257,752 628,876 314,438 157,219 471,658 235,829 707,488 353,744 176,872 88,436 44,218 22,109 66,328 33,164 16,582 8,291 24,874 12,437 37,312 18,656 9,328 4,664 2,332 1,166 583 1,750 875 2,626 1,313 3,940 1,970 985 2,956 1,478 739 2,218 1,109 3,328 1,664 832 416 208 104 52 26 13 40 20 10 5 16 8

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