3,907,188

2² × 3² × 108533

Starting at 3,907,188, the Collatz iteration reaches 1 after 198 steps. The first transition is 1953594; the starting value is even with 18 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 108533

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 9,876,594

Proper Divisor Sum 5,969,406

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3907187 ← → #3907193

Radix Representation

Decimal	3907188
Binary	1110111001111001110100 (22 bits)
Octal	0o16717164
Hexadecimal	0x3B9E74

Divisor Catalog (18)

1 2 3 4 6 9 12 18 36 108,533 217,066 325,599 434,132 651,198 976,797 1,302,396 1,953,594 3,907,188

Collatz Trajectory (198 steps to reach 1)

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

3,907,188 1,953,594 976,797 2,930,392 1,465,196 732,598 366,299 1,098,898 549,449 1,648,348 824,174 412,087 1,236,262 618,131 1,854,394 927,197 2,781,592 1,390,796 695,398 347,699 1,043,098 521,549 1,564,648 782,324 391,162 195,581 586,744 293,372 146,686 73,343 220,030 110,015 330,046 165,023 495,070 247,535 742,606 371,303 1,113,910 556,955 1,670,866 835,433 2,506,300 1,253,150 626,575 1,879,726 939,863 2,819,590 1,409,795 4,229,386 2,114,693 6,344,080 3,172,040 1,586,020 793,010 396,505 1,189,516 594,758 297,379 892,138

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