8,301,916

2² × 7 × 17 × 107 × 163

Starting at 8,301,916, the Collatz iteration reaches 1 after 199 steps. The first transition is 4150958; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 7 × 17 × 107 × 163

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 17,853,696

Proper Divisor Sum 9,551,780

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #8301911 ← → #8301947

Radix Representation

Decimal	8301916
Binary	11111101010110101011100 (23 bits)
Octal	0o37526534
Hexadecimal	0x7EAD5C

Divisor Catalog (48)

1 2 4 7 14 17 28 34 68 107 119 163 214 238 326 428 476 652 749 1,141 1,498 1,819 2,282 2,771 2,996 3,638 4,564 5,542 7,276 11,084 12,733 17,441 19,397 25,466 34,882 38,794 50,932 69,764 77,588 122,087 244,174 296,497 488,348 592,994 1,185,988 2,075,479 4,150,958 8,301,916

Collatz Trajectory (199 steps to reach 1)

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

8,301,916 4,150,958 2,075,479 6,226,438 3,113,219 9,339,658 4,669,829 14,009,488 7,004,744 3,502,372 1,751,186 875,593 2,626,780 1,313,390 656,695 1,970,086 985,043 2,955,130 1,477,565 4,432,696 2,216,348 1,108,174 554,087 1,662,262 831,131 2,493,394 1,246,697 3,740,092 1,870,046 935,023 2,805,070 1,402,535 4,207,606 2,103,803 6,311,410 3,155,705 9,467,116 4,733,558 2,366,779 7,100,338 3,550,169 10,650,508 5,325,254 2,662,627 7,987,882 3,993,941 11,981,824 5,990,912 2,995,456 1,497,728 748,864 374,432 187,216 93,608 46,804 23,402 11,701 35,104 17,552 8,776

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