9,986,221

7 × 71² × 283

9,986,221 factors as 7 × 71^2 × 283. Its 12 positive divisors give a proper-divisor sum of 1,630,515, so this integer is deficient. The Collatz stopping time is 207 steps.

Prime Factor Structure

Factorization String 7 × 71^2 × 283

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 11,616,736

Proper Divisor Sum 1,630,515

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #9986213 ← → #9986227

Radix Representation

Decimal	9986221
Binary	100110000110000010101101 (24 bits)
Octal	0o46060255
Hexadecimal	0x9860AD

Divisor Catalog (12)

1 7 71 283 497 1,981 5,041 20,093 35,287 140,651 1,426,603 9,986,221

Collatz Trajectory (207 steps to reach 1)

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

9,986,221 29,958,664 14,979,332 7,489,666 3,744,833 11,234,500 5,617,250 2,808,625 8,425,876 4,212,938 2,106,469 6,319,408 3,159,704 1,579,852 789,926 394,963 1,184,890 592,445 1,777,336 888,668 444,334 222,167 666,502 333,251 999,754 499,877 1,499,632 749,816 374,908 187,454 93,727 281,182 140,591 421,774 210,887 632,662 316,331 948,994 474,497 1,423,492 711,746 355,873 1,067,620 533,810 266,905 800,716 400,358 200,179 600,538 300,269 900,808 450,404 225,202 112,601 337,804 168,902 84,451 253,354 126,677 380,032

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