3,986,203

13² × 103 × 229

Starting at 3,986,203, the Collatz iteration reaches 1 after 260 steps. The first transition is 11958610; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 13^2 × 103 × 229

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 4,377,360

Proper Divisor Sum 391,157

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #3986201 ← → #3986207

Radix Representation

Decimal	3986203
Binary	1111001101001100011011 (22 bits)
Octal	0o17151433
Hexadecimal	0x3CD31B

Divisor Catalog (12)

1 13 103 169 229 1,339 2,977 17,407 23,587 38,701 306,631 3,986,203

Collatz Trajectory (260 steps to reach 1)

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

3,986,203 11,958,610 5,979,305 17,937,916 8,968,958 4,484,479 13,453,438 6,726,719 20,180,158 10,090,079 30,270,238 15,135,119 45,405,358 22,702,679 68,108,038 34,054,019 102,162,058 51,081,029 153,243,088 76,621,544 38,310,772 19,155,386 9,577,693 28,733,080 14,366,540 7,183,270 3,591,635 10,774,906 5,387,453 16,162,360 8,081,180 4,040,590 2,020,295 6,060,886 3,030,443 9,091,330 4,545,665 13,636,996 6,818,498 3,409,249 10,227,748 5,113,874 2,556,937 7,670,812 3,835,406 1,917,703 5,753,110 2,876,555 8,629,666 4,314,833 12,944,500 6,472,250 3,236,125 9,708,376 4,854,188 2,427,094 1,213,547 3,640,642 1,820,321 5,460,964

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