7,906,221

3³ × 443 × 661

7,906,221 factors as 3^3 × 443 × 661. Its 16 positive divisors give a proper-divisor sum of 3,850,899, so this integer is deficient. The Collatz stopping time is 93 steps.

Prime Factor Structure

Factorization String 3^3 × 443 × 661

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 11,757,120

Proper Divisor Sum 3,850,899

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #7906211 ← → #7906229

Radix Representation

Decimal	7906221
Binary	11110001010001110101101 (23 bits)
Octal	0o36121655
Hexadecimal	0x78A3AD

Divisor Catalog (16)

1 3 9 27 443 661 1,329 1,983 3,987 5,949 11,961 17,847 292,823 878,469 2,635,407 7,906,221

Collatz Trajectory (93 steps to reach 1)

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

7,906,221 23,718,664 11,859,332 5,929,666 2,964,833 8,894,500 4,447,250 2,223,625 6,670,876 3,335,438 1,667,719 5,003,158 2,501,579 7,504,738 3,752,369 11,257,108 5,628,554 2,814,277 8,442,832 4,221,416 2,110,708 1,055,354 527,677 1,583,032 791,516 395,758 197,879 593,638 296,819 890,458 445,229 1,335,688 667,844 333,922 166,961 500,884 250,442 125,221 375,664 187,832 93,916 46,958 23,479 70,438 35,219 105,658 52,829 158,488 79,244 39,622 19,811 59,434 29,717 89,152 44,576 22,288 11,144 5,572 2,786 1,393

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