λ
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Atlas › Integer Profiles › Node 16,680,978

16,680,978

2 × 36 × 17 × 673
Abundant Even Composite

16,680,978 factors as 2 × 3^6 × 17 × 673. Its 56 positive divisors give a proper-divisor sum of 23,099,850, so this integer is abundant. The Collatz stopping time is 112 steps.

Prime Factor Structure

Factorization String 2 × 3^6 × 17 × 673
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 39,780,828
Proper Divisor Sum 23,099,850
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #16680977 ← → #16681001

Radix Representation

Decimal 16680978
Binary 111111101000100000010010 (24 bits)
Octal 0o77504022
Hexadecimal 0xFE8812

Divisor Catalog (56)

1 2 3 6 9 17 18 27 34 51 54 81 102 153 162 243 306 459 486 673 729 918 1,346 1,377 1,458 2,019 2,754 4,038 4,131 6,057 8,262 11,441 12,114 12,393 18,171 22,882 24,786 34,323 36,342 54,513 68,646 102,969 109,026 163,539 205,938 308,907 327,078 490,617 617,814 926,721 981,234 1,853,442 2,780,163 5,560,326 8,340,489 16,680,978

Collatz Trajectory (112 steps to reach 1)

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

16,680,978 8,340,489 25,021,468 12,510,734 6,255,367 18,766,102 9,383,051 28,149,154 14,074,577 42,223,732 21,111,866 10,555,933 31,667,800 15,833,900 7,916,950 3,958,475 11,875,426 5,937,713 17,813,140 8,906,570 4,453,285 13,359,856 6,679,928 3,339,964 1,669,982 834,991 2,504,974 1,252,487 3,757,462 1,878,731 5,636,194 2,818,097 8,454,292 4,227,146 2,113,573 6,340,720 3,170,360 1,585,180 792,590 396,295 1,188,886 594,443 1,783,330 891,665 2,674,996 1,337,498 668,749 2,006,248 1,003,124 501,562 250,781 752,344 376,172 188,086 94,043 282,130 141,065 423,196 211,598 105,799

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