8,241,652

2² × 271 × 7603

Starting at 8,241,652, the Collatz iteration reaches 1 after 212 steps. The first transition is 4120826; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 271 × 7603

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 14,478,016

Proper Divisor Sum 6,236,364

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #8241647 ← → #8241661

Radix Representation

Decimal	8241652
Binary	11111011100000111110100 (23 bits)
Octal	0o37340764
Hexadecimal	0x7DC1F4

Divisor Catalog (12)

1 2 4 271 542 1,084 7,603 15,206 30,412 2,060,413 4,120,826 8,241,652

Collatz Trajectory (212 steps to reach 1)

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

8,241,652 4,120,826 2,060,413 6,181,240 3,090,620 1,545,310 772,655 2,317,966 1,158,983 3,476,950 1,738,475 5,215,426 2,607,713 7,823,140 3,911,570 1,955,785 5,867,356 2,933,678 1,466,839 4,400,518 2,200,259 6,600,778 3,300,389 9,901,168 4,950,584 2,475,292 1,237,646 618,823 1,856,470 928,235 2,784,706 1,392,353 4,177,060 2,088,530 1,044,265 3,132,796 1,566,398 783,199 2,349,598 1,174,799 3,524,398 1,762,199 5,286,598 2,643,299 7,929,898 3,964,949 11,894,848 5,947,424 2,973,712 1,486,856 743,428 371,714 185,857 557,572 278,786 139,393 418,180 209,090 104,545 313,636

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