1,009,646

2 × 11 × 45893

Starting at 1,009,646, the Collatz iteration reaches 1 after 90 steps. The first transition is 504823; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 11 × 45893

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,652,184

Proper Divisor Sum 642,538

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #1009643 ← → #1009649

Radix Representation

Decimal	1009646
Binary	11110110011111101110 (20 bits)
Octal	0o3663756
Hexadecimal	0xF67EE

Divisor Catalog (8)

1 2 11 22 45,893 91,786 504,823 1,009,646

Collatz Trajectory (90 steps to reach 1)

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

1,009,646 504,823 1,514,470 757,235 2,271,706 1,135,853 3,407,560 1,703,780 851,890 425,945 1,277,836 638,918 319,459 958,378 479,189 1,437,568 718,784 359,392 179,696 89,848 44,924 22,462 11,231 33,694 16,847 50,542 25,271 75,814 37,907 113,722 56,861 170,584 85,292 42,646 21,323 63,970 31,985 95,956 47,978 23,989 71,968 35,984 17,992 8,996 4,498 2,249 6,748 3,374 1,687 5,062 2,531 7,594 3,797 11,392 5,696 2,848 1,424 712 356 178

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