4,228,110

2 × 3² × 5 × 109 × 431

Starting at 4,228,110, the Collatz iteration reaches 1 after 180 steps. The first transition is 2114055; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 109 × 431

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 11,119,680

Proper Divisor Sum 6,891,570

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #4228109 ← → #4228111

Radix Representation

Decimal	4228110
Binary	10000001000010000001110 (23 bits)
Octal	0o20102016
Hexadecimal	0x40840E

Divisor Catalog (48)

1 2 3 5 6 9 10 15 18 30 45 90 109 218 327 431 545 654 862 981 1,090 1,293 1,635 1,962 2,155 2,586 3,270 3,879 4,310 4,905 6,465 7,758 9,810 12,930 19,395 38,790 46,979 93,958 140,937 234,895 281,874 422,811 469,790 704,685 845,622 1,409,370 2,114,055 4,228,110

Collatz Trajectory (180 steps to reach 1)

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

4,228,110 2,114,055 6,342,166 3,171,083 9,513,250 4,756,625 14,269,876 7,134,938 3,567,469 10,702,408 5,351,204 2,675,602 1,337,801 4,013,404 2,006,702 1,003,351 3,010,054 1,505,027 4,515,082 2,257,541 6,772,624 3,386,312 1,693,156 846,578 423,289 1,269,868 634,934 317,467 952,402 476,201 1,428,604 714,302 357,151 1,071,454 535,727 1,607,182 803,591 2,410,774 1,205,387 3,616,162 1,808,081 5,424,244 2,712,122 1,356,061 4,068,184 2,034,092 1,017,046 508,523 1,525,570 762,785 2,288,356 1,144,178 572,089 1,716,268 858,134 429,067 1,287,202 643,601 1,930,804 965,402

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