338,187

3 × 139 × 811

Starting at 338,187, the Collatz iteration reaches 1 after 135 steps. The first transition is 1014562; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 139 × 811

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 454,720

Proper Divisor Sum 116,533

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #338183 ← → #338197

Radix Representation

Decimal	338187
Binary	1010010100100001011 (19 bits)
Octal	0o1224413
Hexadecimal	0x5290B

Divisor Catalog (8)

1 3 139 417 811 2,433 112,729 338,187

Collatz Trajectory (135 steps to reach 1)

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

338,187 1,014,562 507,281 1,521,844 760,922 380,461 1,141,384 570,692 285,346 142,673 428,020 214,010 107,005 321,016 160,508 80,254 40,127 120,382 60,191 180,574 90,287 270,862 135,431 406,294 203,147 609,442 304,721 914,164 457,082 228,541 685,624 342,812 171,406 85,703 257,110 128,555 385,666 192,833 578,500 289,250 144,625 433,876 216,938 108,469 325,408 162,704 81,352 40,676 20,338 10,169 30,508 15,254 7,627 22,882 11,441 34,324 17,162 8,581 25,744 12,872

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