840,517

769 × 1093

Starting at 840,517, the Collatz iteration reaches 1 after 131 steps. The first transition is 2521552; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 769 × 1093

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 842,380

Proper Divisor Sum 1,863

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #840491 ← → #840523

Radix Representation

Decimal	840517
Binary	11001101001101000101 (20 bits)
Octal	0o3151505
Hexadecimal	0xCD345

Divisor Catalog (4)

1 769 1,093 840,517

Collatz Trajectory (131 steps to reach 1)

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

840,517 2,521,552 1,260,776 630,388 315,194 157,597 472,792 236,396 118,198 59,099 177,298 88,649 265,948 132,974 66,487 199,462 99,731 299,194 149,597 448,792 224,396 112,198 56,099 168,298 84,149 252,448 126,224 63,112 31,556 15,778 7,889 23,668 11,834 5,917 17,752 8,876 4,438 2,219 6,658 3,329 9,988 4,994 2,497 7,492 3,746 1,873 5,620 2,810 1,405 4,216 2,108 1,054 527 1,582 791 2,374 1,187 3,562 1,781 5,344

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