9,971,991

3⁶ × 13679

9,971,991 factors as 3^6 × 13679. Its 14 positive divisors give a proper-divisor sum of 4,980,249, so this integer is deficient. The Collatz stopping time is 189 steps.

Prime Factor Structure

Factorization String 3^6 × 13679

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 14

Divisor Sum (σ) 14,952,240

Proper Divisor Sum 4,980,249

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #9971989 ← → #9971993

Radix Representation

Decimal	9971991
Binary	100110000010100100010111 (24 bits)
Octal	0o46024427
Hexadecimal	0x982917

Divisor Catalog (14)

1 3 9 27 81 243 729 13,679 41,037 123,111 369,333 1,107,999 3,323,997 9,971,991

Collatz Trajectory (189 steps to reach 1)

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

9,971,991 29,915,974 14,957,987 44,873,962 22,436,981 67,310,944 33,655,472 16,827,736 8,413,868 4,206,934 2,103,467 6,310,402 3,155,201 9,465,604 4,732,802 2,366,401 7,099,204 3,549,602 1,774,801 5,324,404 2,662,202 1,331,101 3,993,304 1,996,652 998,326 499,163 1,497,490 748,745 2,246,236 1,123,118 561,559 1,684,678 842,339 2,527,018 1,263,509 3,790,528 1,895,264 947,632 473,816 236,908 118,454 59,227 177,682 88,841 266,524 133,262 66,631 199,894 99,947 299,842 149,921 449,764 224,882 112,441 337,324 168,662 84,331 252,994 126,497 379,492

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