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Atlas › Integer Profiles › Node 3,965,766

3,965,766

2 × 3 × 73 × 41 × 47
Abundant Even Composite

3,965,766 factors as 2 × 3 × 7^3 × 41 × 47. Its 64 positive divisors give a proper-divisor sum of 5,711,034, so this integer is abundant. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7^3 × 41 × 47
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 9,676,800
Proper Divisor Sum 5,711,034
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #3965723 ← → #3965783

Radix Representation

Decimal 3965766
Binary 1111001000001101000110 (22 bits)
Octal 0o17101506
Hexadecimal 0x3C8346

Divisor Catalog (60 of 64)

1 2 3 6 7 14 21 41 42 47 49 82 94 98 123 141 147 246 282 287 294 329 343 574 658 686 861 987 1,029 1,722 1,927 1,974 2,009 2,058 2,303 3,854 4,018 4,606 5,781 6,027 6,909 11,562 12,054 13,489 13,818 14,063 16,121 26,978 28,126 32,242 40,467 42,189 48,363 80,934 84,378 94,423 96,726 188,846 283,269 566,538

Collatz Trajectory (123 steps to reach 1)

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

3,965,766 1,982,883 5,948,650 2,974,325 8,922,976 4,461,488 2,230,744 1,115,372 557,686 278,843 836,530 418,265 1,254,796 627,398 313,699 941,098 470,549 1,411,648 705,824 352,912 176,456 88,228 44,114 22,057 66,172 33,086 16,543 49,630 24,815 74,446 37,223 111,670 55,835 167,506 83,753 251,260 125,630 62,815 188,446 94,223 282,670 141,335 424,006 212,003 636,010 318,005 954,016 477,008 238,504 119,252 59,626 29,813 89,440 44,720 22,360 11,180 5,590 2,795 8,386 4,193

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