850,578

2 × 3 × 17 × 31 × 269

Starting at 850,578, the Collatz iteration reaches 1 after 82 steps. The first transition is 425289; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 17 × 31 × 269

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 1,866,240

Proper Divisor Sum 1,015,662

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #850571 ← → #850613

Radix Representation

Decimal	850578
Binary	11001111101010010010 (20 bits)
Octal	0o3175222
Hexadecimal	0xCFA92

Divisor Catalog (32)

1 2 3 6 17 31 34 51 62 93 102 186 269 527 538 807 1,054 1,581 1,614 3,162 4,573 8,339 9,146 13,719 16,678 25,017 27,438 50,034 141,763 283,526 425,289 850,578

Collatz Trajectory (82 steps to reach 1)

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

850,578 425,289 1,275,868 637,934 318,967 956,902 478,451 1,435,354 717,677 2,153,032 1,076,516 538,258 269,129 807,388 403,694 201,847 605,542 302,771 908,314 454,157 1,362,472 681,236 340,618 170,309 510,928 255,464 127,732 63,866 31,933 95,800 47,900 23,950 11,975 35,926 17,963 53,890 26,945 80,836 40,418 20,209 60,628 30,314 15,157 45,472 22,736 11,368 5,684 2,842 1,421 4,264 2,132 1,066 533 1,600 800 400 200 100 50 25

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