8,241,651

3² × 11 × 17 × 59 × 83

8,241,651 factors as 3^2 × 11 × 17 × 59 × 83. Its 48 positive divisors give a proper-divisor sum of 5,910,669, so this integer is deficient. The Collatz stopping time is 212 steps.

Prime Factor Structure

Factorization String 3^2 × 11 × 17 × 59 × 83

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 14,152,320

Proper Divisor Sum 5,910,669

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #8241647 ← → #8241661

Radix Representation

Decimal	8241651
Binary	11111011100000111110011 (23 bits)
Octal	0o37340763
Hexadecimal	0x7DC1F3

Divisor Catalog (48)

1 3 9 11 17 33 51 59 83 99 153 177 187 249 531 561 649 747 913 1,003 1,411 1,683 1,947 2,739 3,009 4,233 4,897 5,841 8,217 9,027 11,033 12,699 14,691 15,521 33,099 44,073 46,563 53,867 83,249 99,297 139,689 161,601 249,747 484,803 749,241 915,739 2,747,217 8,241,651

Collatz Trajectory (212 steps to reach 1)

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

8,241,651 24,724,954 12,362,477 37,087,432 18,543,716 9,271,858 4,635,929 13,907,788 6,953,894 3,476,947 10,430,842 5,215,421 15,646,264 7,823,132 3,911,566 1,955,783 5,867,350 2,933,675 8,801,026 4,400,513 13,201,540 6,600,770 3,300,385 9,901,156 4,950,578 2,475,289 7,425,868 3,712,934 1,856,467 5,569,402 2,784,701 8,354,104 4,177,052 2,088,526 1,044,263 3,132,790 1,566,395 4,699,186 2,349,593 7,048,780 3,524,390 1,762,195 5,286,586 2,643,293 7,929,880 3,964,940 1,982,470 991,235 2,973,706 1,486,853 4,460,560 2,230,280 1,115,140 557,570 278,785 836,356 418,178 209,089 627,268 313,634

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