8,434,908

2² × 3³ × 78101

Starting at 8,434,908, the Collatz iteration reaches 1 after 111 steps. The first transition is 4217454; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 78101

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 21,868,560

Proper Divisor Sum 13,433,652

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #8434903 ← → #8434913

Radix Representation

Decimal	8434908
Binary	100000001011010011011100 (24 bits)
Octal	0o40132334
Hexadecimal	0x80B4DC

Divisor Catalog (24)

1 2 3 4 6 9 12 18 27 36 54 108 78,101 156,202 234,303 312,404 468,606 702,909 937,212 1,405,818 2,108,727 2,811,636 4,217,454 8,434,908

Collatz Trajectory (111 steps to reach 1)

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

8,434,908 4,217,454 2,108,727 6,326,182 3,163,091 9,489,274 4,744,637 14,233,912 7,116,956 3,558,478 1,779,239 5,337,718 2,668,859 8,006,578 4,003,289 12,009,868 6,004,934 3,002,467 9,007,402 4,503,701 13,511,104 6,755,552 3,377,776 1,688,888 844,444 422,222 211,111 633,334 316,667 950,002 475,001 1,425,004 712,502 356,251 1,068,754 534,377 1,603,132 801,566 400,783 1,202,350 601,175 1,803,526 901,763 2,705,290 1,352,645 4,057,936 2,028,968 1,014,484 507,242 253,621 760,864 380,432 190,216 95,108 47,554 23,777 71,332 35,666 17,833 53,500

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