8,494,626

2 × 3 × 7 × 41 × 4933

Starting at 8,494,626, the Collatz iteration reaches 1 after 155 steps. The first transition is 4247313; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 41 × 4933

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 19,893,888

Proper Divisor Sum 11,399,262

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #8494597 ← → #8494627

Radix Representation

Decimal	8494626
Binary	100000011001111000100010 (24 bits)
Octal	0o40317042
Hexadecimal	0x819E22

Divisor Catalog (32)

1 2 3 6 7 14 21 41 42 82 123 246 287 574 861 1,722 4,933 9,866 14,799 29,598 34,531 69,062 103,593 202,253 207,186 404,506 606,759 1,213,518 1,415,771 2,831,542 4,247,313 8,494,626

Collatz Trajectory (155 steps to reach 1)

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

8,494,626 4,247,313 12,741,940 6,370,970 3,185,485 9,556,456 4,778,228 2,389,114 1,194,557 3,583,672 1,791,836 895,918 447,959 1,343,878 671,939 2,015,818 1,007,909 3,023,728 1,511,864 755,932 377,966 188,983 566,950 283,475 850,426 425,213 1,275,640 637,820 318,910 159,455 478,366 239,183 717,550 358,775 1,076,326 538,163 1,614,490 807,245 2,421,736 1,210,868 605,434 302,717 908,152 454,076 227,038 113,519 340,558 170,279 510,838 255,419 766,258 383,129 1,149,388 574,694 287,347 862,042 431,021 1,293,064 646,532 323,266

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