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Atlas › Integer Profiles › Node 6,558,972

6,558,972

22 × 3 × 7 × 113 × 691
Abundant Even Composite

6,558,972 factors as 2^2 × 3 × 7 × 113 × 691. Its 48 positive divisors give a proper-divisor sum of 11,111,940, so this integer is abundant. The Collatz stopping time is 90 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 113 × 691
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 17,670,912
Proper Divisor Sum 11,111,940
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #6558961 ← → #6558973

Radix Representation

Decimal 6558972
Binary 11001000001010011111100 (23 bits)
Octal 0o31012374
Hexadecimal 0x6414FC

Divisor Catalog (48)

1 2 3 4 6 7 12 14 21 28 42 84 113 226 339 452 678 691 791 1,356 1,382 1,582 2,073 2,373 2,764 3,164 4,146 4,746 4,837 8,292 9,492 9,674 14,511 19,348 29,022 58,044 78,083 156,166 234,249 312,332 468,498 546,581 936,996 1,093,162 1,639,743 2,186,324 3,279,486 6,558,972

Collatz Trajectory (90 steps to reach 1)

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

6,558,972 3,279,486 1,639,743 4,919,230 2,459,615 7,378,846 3,689,423 11,068,270 5,534,135 16,602,406 8,301,203 24,903,610 12,451,805 37,355,416 18,677,708 9,338,854 4,669,427 14,008,282 7,004,141 21,012,424 10,506,212 5,253,106 2,626,553 7,879,660 3,939,830 1,969,915 5,909,746 2,954,873 8,864,620 4,432,310 2,216,155 6,648,466 3,324,233 9,972,700 4,986,350 2,493,175 7,479,526 3,739,763 11,219,290 5,609,645 16,828,936 8,414,468 4,207,234 2,103,617 6,310,852 3,155,426 1,577,713 4,733,140 2,366,570 1,183,285 3,549,856 1,774,928 887,464 443,732 221,866 110,933 332,800 166,400 83,200 41,600

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