1,619,982

2 × 3² × 7 × 13 × 23 × 43

1,619,982 factors as 2 × 3^2 × 7 × 13 × 23 × 43. Its 96 positive divisors give a proper-divisor sum of 2,992,626, so this integer is abundant. The Collatz stopping time is 88 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 13 × 23 × 43

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 4,612,608

Proper Divisor Sum 2,992,626

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #1619957 ← → #1619983

Radix Representation

Decimal	1619982
Binary	110001011100000001110 (21 bits)
Octal	0o6134016
Hexadecimal	0x18B80E

Divisor Catalog (60 of 96)

1 2 3 6 7 9 13 14 18 21 23 26 39 42 43 46 63 69 78 86 91 117 126 129 138 161 182 207 234 258 273 299 301 322 387 414 483 546 559 598 602 774 819 897 903 966 989 1,118 1,449 1,638 1,677 1,794 1,806 1,978 2,093 2,691 2,709 2,898 2,967 3,354

Collatz Trajectory (88 steps to reach 1)

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

1,619,982 809,991 2,429,974 1,214,987 3,644,962 1,822,481 5,467,444 2,733,722 1,366,861 4,100,584 2,050,292 1,025,146 512,573 1,537,720 768,860 384,430 192,215 576,646 288,323 864,970 432,485 1,297,456 648,728 324,364 162,182 81,091 243,274 121,637 364,912 182,456 91,228 45,614 22,807 68,422 34,211 102,634 51,317 153,952 76,976 38,488 19,244 9,622 4,811 14,434 7,217 21,652 10,826 5,413 16,240 8,120 4,060 2,030 1,015 3,046 1,523 4,570 2,285 6,856 3,428 1,714

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