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Atlas › Integer Profiles › Node 3,387,366

3,387,366

2 × 33 × 149 × 421
Abundant Even Composite

3,387,366 factors as 2 × 3^3 × 149 × 421. Its 32 positive divisors give a proper-divisor sum of 4,208,634, so this integer is abundant. The Collatz stopping time is 252 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 149 × 421
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,596,000
Proper Divisor Sum 4,208,634
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3387353 ← → #3387407

Radix Representation

Decimal 3387366
Binary 1100111010111111100110 (22 bits)
Octal 0o14727746
Hexadecimal 0x33AFE6

Divisor Catalog (32)

1 2 3 6 9 18 27 54 149 298 421 447 842 894 1,263 1,341 2,526 2,682 3,789 4,023 7,578 8,046 11,367 22,734 62,729 125,458 188,187 376,374 564,561 1,129,122 1,693,683 3,387,366

Collatz Trajectory (252 steps to reach 1)

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

3,387,366 1,693,683 5,081,050 2,540,525 7,621,576 3,810,788 1,905,394 952,697 2,858,092 1,429,046 714,523 2,143,570 1,071,785 3,215,356 1,607,678 803,839 2,411,518 1,205,759 3,617,278 1,808,639 5,425,918 2,712,959 8,138,878 4,069,439 12,208,318 6,104,159 18,312,478 9,156,239 27,468,718 13,734,359 41,203,078 20,601,539 61,804,618 30,902,309 92,706,928 46,353,464 23,176,732 11,588,366 5,794,183 17,382,550 8,691,275 26,073,826 13,036,913 39,110,740 19,555,370 9,777,685 29,333,056 14,666,528 7,333,264 3,666,632 1,833,316 916,658 458,329 1,374,988 687,494 343,747 1,031,242 515,621 1,546,864 773,432

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