4,027,086

2 × 3² × 7 × 31 × 1031

Starting at 4,027,086, the Collatz iteration reaches 1 after 97 steps. The first transition is 2013543; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 31 × 1031

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 10,303,488

Proper Divisor Sum 6,276,402

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #4027073 ← → #4027097

Radix Representation

Decimal	4027086
Binary	1111010111001011001110 (22 bits)
Octal	0o17271316
Hexadecimal	0x3D72CE

Divisor Catalog (48)

1 2 3 6 7 9 14 18 21 31 42 62 63 93 126 186 217 279 434 558 651 1,031 1,302 1,953 2,062 3,093 3,906 6,186 7,217 9,279 14,434 18,558 21,651 31,961 43,302 63,922 64,953 95,883 129,906 191,766 223,727 287,649 447,454 575,298 671,181 1,342,362 2,013,543 4,027,086

Collatz Trajectory (97 steps to reach 1)

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

4,027,086 2,013,543 6,040,630 3,020,315 9,060,946 4,530,473 13,591,420 6,795,710 3,397,855 10,193,566 5,096,783 15,290,350 7,645,175 22,935,526 11,467,763 34,403,290 17,201,645 51,604,936 25,802,468 12,901,234 6,450,617 19,351,852 9,675,926 4,837,963 14,513,890 7,256,945 21,770,836 10,885,418 5,442,709 16,328,128 8,164,064 4,082,032 2,041,016 1,020,508 510,254 255,127 765,382 382,691 1,148,074 574,037 1,722,112 861,056 430,528 215,264 107,632 53,816 26,908 13,454 6,727 20,182 10,091 30,274 15,137 45,412 22,706 11,353 34,060 17,030 8,515 25,546

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