8,684,688

2⁴ × 3 × 17 × 29 × 367

Starting at 8,684,688, the Collatz iteration reaches 1 after 119 steps. The first transition is 4342344; the starting value is even with 80 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3 × 17 × 29 × 367

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 24,641,280

Proper Divisor Sum 15,956,592

Digit Sum / Digital Root 48 (Root: 3)

Adjacent Primes #8684657 ← → #8684693

Radix Representation

Decimal	8684688
Binary	100001001000010010010000 (24 bits)
Octal	0o41102220
Hexadecimal	0x848490

Divisor Catalog (60 of 80)

1 2 3 4 6 8 12 16 17 24 29 34 48 51 58 68 87 102 116 136 174 204 232 272 348 367 408 464 493 696 734 816 986 1,101 1,392 1,468 1,479 1,972 2,202 2,936 2,958 3,944 4,404 5,872 5,916 6,239 7,888 8,808 10,643 11,832 12,478 17,616 18,717 21,286 23,664 24,956 31,929 37,434 42,572 49,912

Collatz Trajectory (119 steps to reach 1)

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

8,684,688 4,342,344 2,171,172 1,085,586 542,793 1,628,380 814,190 407,095 1,221,286 610,643 1,831,930 915,965 2,747,896 1,373,948 686,974 343,487 1,030,462 515,231 1,545,694 772,847 2,318,542 1,159,271 3,477,814 1,738,907 5,216,722 2,608,361 7,825,084 3,912,542 1,956,271 5,868,814 2,934,407 8,803,222 4,401,611 13,204,834 6,602,417 19,807,252 9,903,626 4,951,813 14,855,440 7,427,720 3,713,860 1,856,930 928,465 2,785,396 1,392,698 696,349 2,089,048 1,044,524 522,262 261,131 783,394 391,697 1,175,092 587,546 293,773 881,320 440,660 220,330 110,165 330,496

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