9,965,747

11 × 19 × 41 × 1163

Starting at 9,965,747, the Collatz iteration reaches 1 after 189 steps. The first transition is 29897242; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 11 × 19 × 41 × 1163

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 11,733,120

Proper Divisor Sum 1,767,373

Digit Sum / Digital Root 47 (Root: 2)

Adjacent Primes #9965743 ← → #9965759

Radix Representation

Decimal	9965747
Binary	100110000001000010110011 (24 bits)
Octal	0o46010263
Hexadecimal	0x9810B3

Divisor Catalog (16)

1 11 19 41 209 451 779 1,163 8,569 12,793 22,097 47,683 243,067 524,513 905,977 9,965,747

Collatz Trajectory (189 steps to reach 1)

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

9,965,747 29,897,242 14,948,621 44,845,864 22,422,932 11,211,466 5,605,733 16,817,200 8,408,600 4,204,300 2,102,150 1,051,075 3,153,226 1,576,613 4,729,840 2,364,920 1,182,460 591,230 295,615 886,846 443,423 1,330,270 665,135 1,995,406 997,703 2,993,110 1,496,555 4,489,666 2,244,833 6,734,500 3,367,250 1,683,625 5,050,876 2,525,438 1,262,719 3,788,158 1,894,079 5,682,238 2,841,119 8,523,358 4,261,679 12,785,038 6,392,519 19,177,558 9,588,779 28,766,338 14,383,169 43,149,508 21,574,754 10,787,377 32,362,132 16,181,066 8,090,533 24,271,600 12,135,800 6,067,900 3,033,950 1,516,975 4,550,926 2,275,463

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