801,650

2 × 5² × 16033

Starting at 801,650, the Collatz iteration reaches 1 after 69 steps. The first transition is 400825; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2 × 5^2 × 16033

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,491,162

Proper Divisor Sum 689,512

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #801641 ← → #801677

Radix Representation

Decimal	801650
Binary	11000011101101110010 (20 bits)
Octal	0o3035562
Hexadecimal	0xC3B72

Divisor Catalog (12)

1 2 5 10 25 50 16,033 32,066 80,165 160,330 400,825 801,650

Collatz Trajectory (69 steps to reach 1)

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

801,650 400,825 1,202,476 601,238 300,619 901,858 450,929 1,352,788 676,394 338,197 1,014,592 507,296 253,648 126,824 63,412 31,706 15,853 47,560 23,780 11,890 5,945 17,836 8,918 4,459 13,378 6,689 20,068 10,034 5,017 15,052 7,526 3,763 11,290 5,645 16,936 8,468 4,234 2,117 6,352 3,176 1,588 794 397 1,192 596 298 149 448 224 112 56 28 14 7 22 11 34 17 52 26

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