8,434,782

2 × 3² × 468599

Starting at 8,434,782, the Collatz iteration reaches 1 after 111 steps. The first transition is 4217391; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 468599

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 18,275,400

Proper Divisor Sum 9,840,618

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #8434763 ← → #8434787

Radix Representation

Decimal	8434782
Binary	100000001011010001011110 (24 bits)
Octal	0o40132136
Hexadecimal	0x80B45E

Divisor Catalog (12)

1 2 3 6 9 18 468,599 937,198 1,405,797 2,811,594 4,217,391 8,434,782

Collatz Trajectory (111 steps to reach 1)

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

8,434,782 4,217,391 12,652,174 6,326,087 18,978,262 9,489,131 28,467,394 14,233,697 42,701,092 21,350,546 10,675,273 32,025,820 16,012,910 8,006,455 24,019,366 12,009,683 36,029,050 18,014,525 54,043,576 27,021,788 13,510,894 6,755,447 20,266,342 10,133,171 30,399,514 15,199,757 45,599,272 22,799,636 11,399,818 5,699,909 17,099,728 8,549,864 4,274,932 2,137,466 1,068,733 3,206,200 1,603,100 801,550 400,775 1,202,326 601,163 1,803,490 901,745 2,705,236 1,352,618 676,309 2,028,928 1,014,464 507,232 253,616 126,808 63,404 31,702 15,851 47,554 23,777 71,332 35,666 17,833 53,500

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