4,125,170

2 × 5 × 7 × 31 × 1901

Starting at 4,125,170, the Collatz iteration reaches 1 after 185 steps. The first transition is 2062585; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 31 × 1901

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 8,764,416

Proper Divisor Sum 4,639,246

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #4125151 ← → #4125181

Radix Representation

Decimal	4125170
Binary	1111101111000111110010 (22 bits)
Octal	0o17570762
Hexadecimal	0x3EF1F2

Divisor Catalog (32)

1 2 5 7 10 14 31 35 62 70 155 217 310 434 1,085 1,901 2,170 3,802 9,505 13,307 19,010 26,614 58,931 66,535 117,862 133,070 294,655 412,517 589,310 825,034 2,062,585 4,125,170

Collatz Trajectory (185 steps to reach 1)

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

4,125,170 2,062,585 6,187,756 3,093,878 1,546,939 4,640,818 2,320,409 6,961,228 3,480,614 1,740,307 5,220,922 2,610,461 7,831,384 3,915,692 1,957,846 978,923 2,936,770 1,468,385 4,405,156 2,202,578 1,101,289 3,303,868 1,651,934 825,967 2,477,902 1,238,951 3,716,854 1,858,427 5,575,282 2,787,641 8,362,924 4,181,462 2,090,731 6,272,194 3,136,097 9,408,292 4,704,146 2,352,073 7,056,220 3,528,110 1,764,055 5,292,166 2,646,083 7,938,250 3,969,125 11,907,376 5,953,688 2,976,844 1,488,422 744,211 2,232,634 1,116,317 3,348,952 1,674,476 837,238 418,619 1,255,858 627,929 1,883,788 941,894

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