799,518

2 × 3 × 133253

Starting at 799,518, the Collatz iteration reaches 1 after 206 steps. The first transition is 399759; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 133253

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,599,048

Proper Divisor Sum 799,530

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #799507 ← → #799523

Radix Representation

Decimal	799518
Binary	11000011001100011110 (20 bits)
Octal	0o3031436
Hexadecimal	0xC331E

Divisor Catalog (8)

1 2 3 6 133,253 266,506 399,759 799,518

Collatz Trajectory (206 steps to reach 1)

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

799,518 399,759 1,199,278 599,639 1,798,918 899,459 2,698,378 1,349,189 4,047,568 2,023,784 1,011,892 505,946 252,973 758,920 379,460 189,730 94,865 284,596 142,298 71,149 213,448 106,724 53,362 26,681 80,044 40,022 20,011 60,034 30,017 90,052 45,026 22,513 67,540 33,770 16,885 50,656 25,328 12,664 6,332 3,166 1,583 4,750 2,375 7,126 3,563 10,690 5,345 16,036 8,018 4,009 12,028 6,014 3,007 9,022 4,511 13,534 6,767 20,302 10,151 30,454

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