8,524,065

3 × 5 × 11 × 19 × 2719

Starting at 8,524,065, the Collatz iteration reaches 1 after 98 steps. The first transition is 25572196; the starting value is odd with 32 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 11 × 19 × 2719

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 15,667,200

Proper Divisor Sum 7,143,135

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #8524051 ← → #8524073

Radix Representation

Decimal	8524065
Binary	100000100001000100100001 (24 bits)
Octal	0o40410441
Hexadecimal	0x821121

Divisor Catalog (32)

1 3 5 11 15 19 33 55 57 95 165 209 285 627 1,045 2,719 3,135 8,157 13,595 29,909 40,785 51,661 89,727 149,545 154,983 258,305 448,635 568,271 774,915 1,704,813 2,841,355 8,524,065

Collatz Trajectory (98 steps to reach 1)

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

8,524,065 25,572,196 12,786,098 6,393,049 19,179,148 9,589,574 4,794,787 14,384,362 7,192,181 21,576,544 10,788,272 5,394,136 2,697,068 1,348,534 674,267 2,022,802 1,011,401 3,034,204 1,517,102 758,551 2,275,654 1,137,827 3,413,482 1,706,741 5,120,224 2,560,112 1,280,056 640,028 320,014 160,007 480,022 240,011 720,034 360,017 1,080,052 540,026 270,013 810,040 405,020 202,510 101,255 303,766 151,883 455,650 227,825 683,476 341,738 170,869 512,608 256,304 128,152 64,076 32,038 16,019 48,058 24,029 72,088 36,044 18,022 9,011

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