2,002,038

2 × 3 × 333673

Starting at 2,002,038, the Collatz iteration reaches 1 after 259 steps. The first transition is 1001019; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 333673

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 4,004,088

Proper Divisor Sum 2,002,050

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #2002019 ← → #2002061

Radix Representation

Decimal	2002038
Binary	111101000110001110110 (21 bits)
Octal	0o7506166
Hexadecimal	0x1E8C76

Divisor Catalog (8)

1 2 3 6 333,673 667,346 1,001,019 2,002,038

Collatz Trajectory (259 steps to reach 1)

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

2,002,038 1,001,019 3,003,058 1,501,529 4,504,588 2,252,294 1,126,147 3,378,442 1,689,221 5,067,664 2,533,832 1,266,916 633,458 316,729 950,188 475,094 237,547 712,642 356,321 1,068,964 534,482 267,241 801,724 400,862 200,431 601,294 300,647 901,942 450,971 1,352,914 676,457 2,029,372 1,014,686 507,343 1,522,030 761,015 2,283,046 1,141,523 3,424,570 1,712,285 5,136,856 2,568,428 1,284,214 642,107 1,926,322 963,161 2,889,484 1,444,742 722,371 2,167,114 1,083,557 3,250,672 1,625,336 812,668 406,334 203,167 609,502 304,751 914,254 457,127

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