8,481,634

2 × 7 × 571 × 1061

Starting at 8,481,634, the Collatz iteration reaches 1 after 106 steps. The first transition is 4240817; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 7 × 571 × 1061

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 14,579,136

Proper Divisor Sum 6,097,502

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #8481607 ← → #8481637

Radix Representation

Decimal	8481634
Binary	100000010110101101100010 (24 bits)
Octal	0o40265542
Hexadecimal	0x816B62

Divisor Catalog (16)

1 2 7 14 571 1,061 1,142 2,122 3,997 7,427 7,994 14,854 605,831 1,211,662 4,240,817 8,481,634

Collatz Trajectory (106 steps to reach 1)

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

8,481,634 4,240,817 12,722,452 6,361,226 3,180,613 9,541,840 4,770,920 2,385,460 1,192,730 596,365 1,789,096 894,548 447,274 223,637 670,912 335,456 167,728 83,864 41,932 20,966 10,483 31,450 15,725 47,176 23,588 11,794 5,897 17,692 8,846 4,423 13,270 6,635 19,906 9,953 29,860 14,930 7,465 22,396 11,198 5,599 16,798 8,399 25,198 12,599 37,798 18,899 56,698 28,349 85,048 42,524 21,262 10,631 31,894 15,947 47,842 23,921 71,764 35,882 17,941 53,824

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