2,081,226

2 × 3 × 7² × 7079

Starting at 2,081,226, the Collatz iteration reaches 1 after 78 steps. The first transition is 1040613; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 7^2 × 7079

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 4,842,720

Proper Divisor Sum 2,761,494

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #2081171 ← → #2081237

Radix Representation

Decimal	2081226
Binary	111111100000111001010 (21 bits)
Octal	0o7740712
Hexadecimal	0x1FC1CA

Divisor Catalog (24)

1 2 3 6 7 14 21 42 49 98 147 294 7,079 14,158 21,237 42,474 49,553 99,106 148,659 297,318 346,871 693,742 1,040,613 2,081,226

Collatz Trajectory (78 steps to reach 1)

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

2,081,226 1,040,613 3,121,840 1,560,920 780,460 390,230 195,115 585,346 292,673 878,020 439,010 219,505 658,516 329,258 164,629 493,888 246,944 123,472 61,736 30,868 15,434 7,717 23,152 11,576 5,788 2,894 1,447 4,342 2,171 6,514 3,257 9,772 4,886 2,443 7,330 3,665 10,996 5,498 2,749 8,248 4,124 2,062 1,031 3,094 1,547 4,642 2,321 6,964 3,482 1,741 5,224 2,612 1,306 653 1,960 980 490 245 736 368

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