λ
Sequence Observatory

4,682,226

2 × 3 × 780371
Abundant Even Composite

Starting at 4,682,226, the Collatz iteration reaches 1 after 162 steps. The first transition is 2341113; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 780371
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,364,464
Proper Divisor Sum 4,682,238
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #4682219 ← → #4682231

Radix Representation

Decimal 4682226
Binary 10001110111000111110010 (23 bits)
Octal 0o21670762
Hexadecimal 0x4771F2

Divisor Catalog (8)

1 2 3 6 780,371 1,560,742 2,341,113 4,682,226

Collatz Trajectory (162 steps to reach 1)

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

4,682,226 2,341,113 7,023,340 3,511,670 1,755,835 5,267,506 2,633,753 7,901,260 3,950,630 1,975,315 5,925,946 2,962,973 8,888,920 4,444,460 2,222,230 1,111,115 3,333,346 1,666,673 5,000,020 2,500,010 1,250,005 3,750,016 1,875,008 937,504 468,752 234,376 117,188 58,594 29,297 87,892 43,946 21,973 65,920 32,960 16,480 8,240 4,120 2,060 1,030 515 1,546 773 2,320 1,160 580 290 145 436 218 109 328 164 82 41 124 62 31 94 47 142

More profiles

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