2,998,188

2² × 3³ × 17 × 23 × 71

Starting at 2,998,188, the Collatz iteration reaches 1 after 138 steps. The first transition is 1499094; the starting value is even with 96 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 17 × 23 × 71

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 8,709,120

Proper Divisor Sum 5,710,932

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #2998187 ← → #2998199

Radix Representation

Decimal	2998188
Binary	1011011011111110101100 (22 bits)
Octal	0o13337654
Hexadecimal	0x2DBFAC

Divisor Catalog (60 of 96)

1 2 3 4 6 9 12 17 18 23 27 34 36 46 51 54 68 69 71 92 102 108 138 142 153 204 207 213 276 284 306 391 414 426 459 612 621 639 782 828 852 918 1,173 1,207 1,242 1,278 1,564 1,633 1,836 1,917 2,346 2,414 2,484 2,556 3,266 3,519 3,621 3,834 4,692 4,828

Collatz Trajectory (138 steps to reach 1)

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

2,998,188 1,499,094 749,547 2,248,642 1,124,321 3,372,964 1,686,482 843,241 2,529,724 1,264,862 632,431 1,897,294 948,647 2,845,942 1,422,971 4,268,914 2,134,457 6,403,372 3,201,686 1,600,843 4,802,530 2,401,265 7,203,796 3,601,898 1,800,949 5,402,848 2,701,424 1,350,712 675,356 337,678 168,839 506,518 253,259 759,778 379,889 1,139,668 569,834 284,917 854,752 427,376 213,688 106,844 53,422 26,711 80,134 40,067 120,202 60,101 180,304 90,152 45,076 22,538 11,269 33,808 16,904 8,452 4,226 2,113 6,340 3,170

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