9,661,329

3³ × 19 × 37 × 509

9,661,329 factors as 3^3 × 19 × 37 × 509. Its 32 positive divisors give a proper-divisor sum of 5,842,671, so this integer is deficient. The Collatz stopping time is 238 steps.

Prime Factor Structure

Factorization String 3^3 × 19 × 37 × 509

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 15,504,000

Proper Divisor Sum 5,842,671

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #9661319 ← → #9661339

Radix Representation

Decimal	9661329
Binary	100100110110101110010001 (24 bits)
Octal	0o44665621
Hexadecimal	0x936B91

Divisor Catalog (32)

1 3 9 19 27 37 57 111 171 333 509 513 703 999 1,527 2,109 4,581 6,327 9,671 13,743 18,833 18,981 29,013 56,499 87,039 169,497 261,117 357,827 508,491 1,073,481 3,220,443 9,661,329

Collatz Trajectory (238 steps to reach 1)

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

9,661,329 28,983,988 14,491,994 7,245,997 21,737,992 10,868,996 5,434,498 2,717,249 8,151,748 4,075,874 2,037,937 6,113,812 3,056,906 1,528,453 4,585,360 2,292,680 1,146,340 573,170 286,585 859,756 429,878 214,939 644,818 322,409 967,228 483,614 241,807 725,422 362,711 1,088,134 544,067 1,632,202 816,101 2,448,304 1,224,152 612,076 306,038 153,019 459,058 229,529 688,588 344,294 172,147 516,442 258,221 774,664 387,332 193,666 96,833 290,500 145,250 72,625 217,876 108,938 54,469 163,408 81,704 40,852 20,426 10,213

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