8,241,702

2 × 3 × 7² × 17² × 97

Starting at 8,241,702, the Collatz iteration reaches 1 after 168 steps. The first transition is 4120851; the starting value is even with 72 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 7^2 × 17^2 × 97

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 20,578,824

Proper Divisor Sum 12,337,122

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #8241677 ← → #8241703

Radix Representation

Decimal	8241702
Binary	11111011100001000100110 (23 bits)
Octal	0o37341046
Hexadecimal	0x7DC226

Divisor Catalog (60 of 72)

1 2 3 6 7 14 17 21 34 42 49 51 97 98 102 119 147 194 238 289 291 294 357 578 582 679 714 833 867 1,358 1,649 1,666 1,734 2,023 2,037 2,499 3,298 4,046 4,074 4,753 4,947 4,998 6,069 9,506 9,894 11,543 12,138 14,161 14,259 23,086 28,033 28,322 28,518 34,629 42,483 56,066 69,258 80,801 84,099 84,966

Collatz Trajectory (168 steps to reach 1)

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

8,241,702 4,120,851 12,362,554 6,181,277 18,543,832 9,271,916 4,635,958 2,317,979 6,953,938 3,476,969 10,430,908 5,215,454 2,607,727 7,823,182 3,911,591 11,734,774 5,867,387 17,602,162 8,801,081 26,403,244 13,201,622 6,600,811 19,802,434 9,901,217 29,703,652 14,851,826 7,425,913 22,277,740 11,138,870 5,569,435 16,708,306 8,354,153 25,062,460 12,531,230 6,265,615 18,796,846 9,398,423 28,195,270 14,097,635 42,292,906 21,146,453 63,439,360 31,719,680 15,859,840 7,929,920 3,964,960 1,982,480 991,240 495,620 247,810 123,905 371,716 185,858 92,929 278,788 139,394 69,697 209,092 104,546 52,273

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