λ
Harmonic Matrix

9,996,246

2 × 32 × 13 × 42719
Abundant Even Composite

9,996,246 has digital root 9. The neighboring primes are 9996241 and 9996247; its proper-divisor sum differs from the starting integer by 3,332,628.

Prime Factor Structure

Factorization String 2 × 3^2 × 13 × 42719
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 23,325,120
Proper Divisor Sum 13,328,874
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #9996241 ← → #9996247

Radix Representation

Decimal 9996246
Binary 100110001000011111010110 (24 bits)
Octal 0o46103726
Hexadecimal 0x9887D6

Divisor Catalog (24)

1 2 3 6 9 13 18 26 39 78 117 234 42,719 85,438 128,157 256,314 384,471 555,347 768,942 1,110,694 1,666,041 3,332,082 4,998,123 9,996,246

Collatz Trajectory (176 steps to reach 1)

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

9,996,246 4,998,123 14,994,370 7,497,185 22,491,556 11,245,778 5,622,889 16,868,668 8,434,334 4,217,167 12,651,502 6,325,751 18,977,254 9,488,627 28,465,882 14,232,941 42,698,824 21,349,412 10,674,706 5,337,353 16,012,060 8,006,030 4,003,015 12,009,046 6,004,523 18,013,570 9,006,785 27,020,356 13,510,178 6,755,089 20,265,268 10,132,634 5,066,317 15,198,952 7,599,476 3,799,738 1,899,869 5,699,608 2,849,804 1,424,902 712,451 2,137,354 1,068,677 3,206,032 1,603,016 801,508 400,754 200,377 601,132 300,566 150,283 450,850 225,425 676,276 338,138 169,069 507,208 253,604 126,802 63,401

More profiles

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