3,247,992

2³ × 3³ × 11 × 1367

Starting at 3,247,992, the Collatz iteration reaches 1 after 208 steps. The first transition is 1623996; the starting value is even with 64 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3^3 × 11 × 1367

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 9,849,600

Proper Divisor Sum 6,601,608

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3247987 ← → #3248017

Radix Representation

Decimal	3247992
Binary	1100011000111101111000 (22 bits)
Octal	0o14307570
Hexadecimal	0x318F78

Divisor Catalog (60 of 64)

1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 792 1,188 1,367 2,376 2,734 4,101 5,468 8,202 10,936 12,303 15,037 16,404 24,606 30,074 32,808 36,909 45,111 49,212 60,148 73,818 90,222 98,424 120,296 135,333 147,636 180,444 270,666 295,272 360,888 405,999 541,332

Collatz Trajectory (208 steps to reach 1)

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

3,247,992 1,623,996 811,998 405,999 1,217,998 608,999 1,826,998 913,499 2,740,498 1,370,249 4,110,748 2,055,374 1,027,687 3,083,062 1,541,531 4,624,594 2,312,297 6,936,892 3,468,446 1,734,223 5,202,670 2,601,335 7,804,006 3,902,003 11,706,010 5,853,005 17,559,016 8,779,508 4,389,754 2,194,877 6,584,632 3,292,316 1,646,158 823,079 2,469,238 1,234,619 3,703,858 1,851,929 5,555,788 2,777,894 1,388,947 4,166,842 2,083,421 6,250,264 3,125,132 1,562,566 781,283 2,343,850 1,171,925 3,515,776 1,757,888 878,944 439,472 219,736 109,868 54,934 27,467 82,402 41,201 123,604

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