8,284,085

5 × 1031 × 1607

Starting at 8,284,085, the Collatz iteration reaches 1 after 199 steps. The first transition is 24852256; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 1031 × 1607

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 9,956,736

Proper Divisor Sum 1,672,651

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #8284069 ← → #8284093

Radix Representation

Decimal	8284085
Binary	11111100110011110110101 (23 bits)
Octal	0o37463665
Hexadecimal	0x7E67B5

Divisor Catalog (8)

1 5 1,031 1,607 5,155 8,035 1,656,817 8,284,085

Collatz Trajectory (199 steps to reach 1)

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

8,284,085 24,852,256 12,426,128 6,213,064 3,106,532 1,553,266 776,633 2,329,900 1,164,950 582,475 1,747,426 873,713 2,621,140 1,310,570 655,285 1,965,856 982,928 491,464 245,732 122,866 61,433 184,300 92,150 46,075 138,226 69,113 207,340 103,670 51,835 155,506 77,753 233,260 116,630 58,315 174,946 87,473 262,420 131,210 65,605 196,816 98,408 49,204 24,602 12,301 36,904 18,452 9,226 4,613 13,840 6,920 3,460 1,730 865 2,596 1,298 649 1,948 974 487 1,462

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