4,182,237

3² × 127 × 3659

Starting at 4,182,237, the Collatz iteration reaches 1 after 136 steps. The first transition is 12546712; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 127 × 3659

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 6,090,240

Proper Divisor Sum 1,908,003

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #4182209 ← → #4182239

Radix Representation

Decimal	4182237
Binary	1111111101000011011101 (22 bits)
Octal	0o17750335
Hexadecimal	0x3FD0DD

Divisor Catalog (12)

1 3 9 127 381 1,143 3,659 10,977 32,931 464,693 1,394,079 4,182,237

Collatz Trajectory (136 steps to reach 1)

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

4,182,237 12,546,712 6,273,356 3,136,678 1,568,339 4,705,018 2,352,509 7,057,528 3,528,764 1,764,382 882,191 2,646,574 1,323,287 3,969,862 1,984,931 5,954,794 2,977,397 8,932,192 4,466,096 2,233,048 1,116,524 558,262 279,131 837,394 418,697 1,256,092 628,046 314,023 942,070 471,035 1,413,106 706,553 2,119,660 1,059,830 529,915 1,589,746 794,873 2,384,620 1,192,310 596,155 1,788,466 894,233 2,682,700 1,341,350 670,675 2,012,026 1,006,013 3,018,040 1,509,020 754,510 377,255 1,131,766 565,883 1,697,650 848,825 2,546,476 1,273,238 636,619 1,909,858 954,929

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