2,775,738

2 × 3 × 7 × 66089

Starting at 2,775,738, the Collatz iteration reaches 1 after 138 steps. The first transition is 1387869; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 66089

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,344,640

Proper Divisor Sum 3,568,902

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #2775737 ← → #2775739

Radix Representation

Decimal	2775738
Binary	1010100101101010111010 (22 bits)
Octal	0o12455272
Hexadecimal	0x2A5ABA

Divisor Catalog (16)

1 2 3 6 7 14 21 42 66,089 132,178 198,267 396,534 462,623 925,246 1,387,869 2,775,738

Collatz Trajectory (138 steps to reach 1)

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

2,775,738 1,387,869 4,163,608 2,081,804 1,040,902 520,451 1,561,354 780,677 2,342,032 1,171,016 585,508 292,754 146,377 439,132 219,566 109,783 329,350 164,675 494,026 247,013 741,040 370,520 185,260 92,630 46,315 138,946 69,473 208,420 104,210 52,105 156,316 78,158 39,079 117,238 58,619 175,858 87,929 263,788 131,894 65,947 197,842 98,921 296,764 148,382 74,191 222,574 111,287 333,862 166,931 500,794 250,397 751,192 375,596 187,798 93,899 281,698 140,849 422,548 211,274 105,637

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