7,289,628

2² × 3 × 211 × 2879

Starting at 7,289,628, the Collatz iteration reaches 1 after 191 steps. The first transition is 3644814; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 211 × 2879

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 17,095,680

Proper Divisor Sum 9,806,052

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #7289621 ← → #7289657

Radix Representation

Decimal	7289628
Binary	11011110011101100011100 (23 bits)
Octal	0o33635434
Hexadecimal	0x6F3B1C

Divisor Catalog (24)

1 2 3 4 6 12 211 422 633 844 1,266 2,532 2,879 5,758 8,637 11,516 17,274 34,548 607,469 1,214,938 1,822,407 2,429,876 3,644,814 7,289,628

Collatz Trajectory (191 steps to reach 1)

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

7,289,628 3,644,814 1,822,407 5,467,222 2,733,611 8,200,834 4,100,417 12,301,252 6,150,626 3,075,313 9,225,940 4,612,970 2,306,485 6,919,456 3,459,728 1,729,864 864,932 432,466 216,233 648,700 324,350 162,175 486,526 243,263 729,790 364,895 1,094,686 547,343 1,642,030 821,015 2,463,046 1,231,523 3,694,570 1,847,285 5,541,856 2,770,928 1,385,464 692,732 346,366 173,183 519,550 259,775 779,326 389,663 1,168,990 584,495 1,753,486 876,743 2,630,230 1,315,115 3,945,346 1,972,673 5,918,020 2,959,010 1,479,505 4,438,516 2,219,258 1,109,629 3,328,888 1,664,444

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