3,138,795

3² × 5 × 11 × 17 × 373

Starting at 3,138,795, the Collatz iteration reaches 1 after 195 steps. The first transition is 9416386; the starting value is odd with 48 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 5 × 11 × 17 × 373

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 6,301,152

Proper Divisor Sum 3,162,357

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3138791 ← → #3138799

Radix Representation

Decimal	3138795
Binary	1011111110010011101011 (22 bits)
Octal	0o13762353
Hexadecimal	0x2FE4EB

Divisor Catalog (48)

1 3 5 9 11 15 17 33 45 51 55 85 99 153 165 187 255 373 495 561 765 935 1,119 1,683 1,865 2,805 3,357 4,103 5,595 6,341 8,415 12,309 16,785 19,023 20,515 31,705 36,927 57,069 61,545 69,751 95,115 184,635 209,253 285,345 348,755 627,759 1,046,265 3,138,795

Collatz Trajectory (195 steps to reach 1)

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

3,138,795 9,416,386 4,708,193 14,124,580 7,062,290 3,531,145 10,593,436 5,296,718 2,648,359 7,945,078 3,972,539 11,917,618 5,958,809 17,876,428 8,938,214 4,469,107 13,407,322 6,703,661 20,110,984 10,055,492 5,027,746 2,513,873 7,541,620 3,770,810 1,885,405 5,656,216 2,828,108 1,414,054 707,027 2,121,082 1,060,541 3,181,624 1,590,812 795,406 397,703 1,193,110 596,555 1,789,666 894,833 2,684,500 1,342,250 671,125 2,013,376 1,006,688 503,344 251,672 125,836 62,918 31,459 94,378 47,189 141,568 70,784 35,392 17,696 8,848 4,424 2,212 1,106 553

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