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Atlas › Integer Profiles › Node 3,786,006

3,786,006

2 × 3 × 7 × 109 × 827
Abundant Even Composite

3,786,006 factors as 2 × 3 × 7 × 109 × 827. Its 32 positive divisors give a proper-divisor sum of 4,957,674, so this integer is abundant. The Collatz stopping time is 216 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 109 × 827
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 8,743,680
Proper Divisor Sum 4,957,674
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3785993 ← → #3786011

Radix Representation

Decimal 3786006
Binary 1110011100010100010110 (22 bits)
Octal 0o16342426
Hexadecimal 0x39C516

Divisor Catalog (32)

1 2 3 6 7 14 21 42 109 218 327 654 763 827 1,526 1,654 2,289 2,481 4,578 4,962 5,789 11,578 17,367 34,734 90,143 180,286 270,429 540,858 631,001 1,262,002 1,893,003 3,786,006

Collatz Trajectory (216 steps to reach 1)

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

3,786,006 1,893,003 5,679,010 2,839,505 8,518,516 4,259,258 2,129,629 6,388,888 3,194,444 1,597,222 798,611 2,395,834 1,197,917 3,593,752 1,796,876 898,438 449,219 1,347,658 673,829 2,021,488 1,010,744 505,372 252,686 126,343 379,030 189,515 568,546 284,273 852,820 426,410 213,205 639,616 319,808 159,904 79,952 39,976 19,988 9,994 4,997 14,992 7,496 3,748 1,874 937 2,812 1,406 703 2,110 1,055 3,166 1,583 4,750 2,375 7,126 3,563 10,690 5,345 16,036 8,018 4,009

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