3,568,828

2² × 43 × 20749

Starting at 3,568,828, the Collatz iteration reaches 1 after 203 steps. The first transition is 1784414; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 43 × 20749

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 6,391,000

Proper Divisor Sum 2,822,172

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #3568801 ← → #3568837

Radix Representation

Decimal	3568828
Binary	1101100111010010111100 (22 bits)
Octal	0o15472274
Hexadecimal	0x3674BC

Divisor Catalog (12)

1 2 4 43 86 172 20,749 41,498 82,996 892,207 1,784,414 3,568,828

Collatz Trajectory (203 steps to reach 1)

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

3,568,828 1,784,414 892,207 2,676,622 1,338,311 4,014,934 2,007,467 6,022,402 3,011,201 9,033,604 4,516,802 2,258,401 6,775,204 3,387,602 1,693,801 5,081,404 2,540,702 1,270,351 3,811,054 1,905,527 5,716,582 2,858,291 8,574,874 4,287,437 12,862,312 6,431,156 3,215,578 1,607,789 4,823,368 2,411,684 1,205,842 602,921 1,808,764 904,382 452,191 1,356,574 678,287 2,034,862 1,017,431 3,052,294 1,526,147 4,578,442 2,289,221 6,867,664 3,433,832 1,716,916 858,458 429,229 1,287,688 643,844 321,922 160,961 482,884 241,442 120,721 362,164 181,082 90,541 271,624 135,812

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