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Atlas › Integer Profiles › Node 7,806,580

7,806,580

22 × 5 × 109 × 3581
Abundant Even Composite

7,806,580 factors as 2^2 × 5 × 109 × 3581. Its 24 positive divisors give a proper-divisor sum of 8,742,260, so this integer is abundant. The Collatz stopping time is 129 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 109 × 3581
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 16,548,840
Proper Divisor Sum 8,742,260
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #7806577 ← → #7806599

Radix Representation

Decimal 7806580
Binary 11101110001111001110100 (23 bits)
Octal 0o35617164
Hexadecimal 0x771E74

Divisor Catalog (24)

1 2 4 5 10 20 109 218 436 545 1,090 2,180 3,581 7,162 14,324 17,905 35,810 71,620 390,329 780,658 1,561,316 1,951,645 3,903,290 7,806,580

Collatz Trajectory (129 steps to reach 1)

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

7,806,580 3,903,290 1,951,645 5,854,936 2,927,468 1,463,734 731,867 2,195,602 1,097,801 3,293,404 1,646,702 823,351 2,470,054 1,235,027 3,705,082 1,852,541 5,557,624 2,778,812 1,389,406 694,703 2,084,110 1,042,055 3,126,166 1,563,083 4,689,250 2,344,625 7,033,876 3,516,938 1,758,469 5,275,408 2,637,704 1,318,852 659,426 329,713 989,140 494,570 247,285 741,856 370,928 185,464 92,732 46,366 23,183 69,550 34,775 104,326 52,163 156,490 78,245 234,736 117,368 58,684 29,342 14,671 44,014 22,007 66,022 33,011 99,034 49,517

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