λ
Ratio Atlas

9,879,815

5 × 11 × 179633
Deficient Odd Composite

9,879,815 factors as 5 × 11 × 179633. Its 8 positive divisors give a proper-divisor sum of 3,053,833, so this integer is deficient. The Collatz stopping time is 145 steps.

Prime Factor Structure

Factorization String 5 × 11 × 179633
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 12,933,648
Proper Divisor Sum 3,053,833
Digit Sum / Digital Root 47 (Root: 2)
Adjacent Primes #9879787 ← → #9879817

Radix Representation

Decimal 9879815
Binary 100101101100000100000111 (24 bits)
Octal 0o45540407
Hexadecimal 0x96C107

Divisor Catalog (8)

1 5 11 55 179,633 898,165 1,975,963 9,879,815

Collatz Trajectory (145 steps to reach 1)

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

9,879,815 29,639,446 14,819,723 44,459,170 22,229,585 66,688,756 33,344,378 16,672,189 50,016,568 25,008,284 12,504,142 6,252,071 18,756,214 9,378,107 28,134,322 14,067,161 42,201,484 21,100,742 10,550,371 31,651,114 15,825,557 47,476,672 23,738,336 11,869,168 5,934,584 2,967,292 1,483,646 741,823 2,225,470 1,112,735 3,338,206 1,669,103 5,007,310 2,503,655 7,510,966 3,755,483 11,266,450 5,633,225 16,899,676 8,449,838 4,224,919 12,674,758 6,337,379 19,012,138 9,506,069 28,518,208 14,259,104 7,129,552 3,564,776 1,782,388 891,194 445,597 1,336,792 668,396 334,198 167,099 501,298 250,649 751,948 375,974

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