9,607,221

3³ × 13 × 101 × 271

For 9,607,221, the 32 positive divisors have a total of 15,536,640. Removing 9,607,221 leaves 5,929,419, which gives the deficient classification.

Prime Factor Structure

Factorization String 3^3 × 13 × 101 × 271

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 15,536,640

Proper Divisor Sum 5,929,419

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #9607219 ← → #9607231

Radix Representation

Decimal	9607221
Binary	100100101001100000110101 (24 bits)
Octal	0o44514065
Hexadecimal	0x929835

Divisor Catalog (32)

1 3 9 13 27 39 101 117 271 303 351 813 909 1,313 2,439 2,727 3,523 3,939 7,317 10,569 11,817 27,371 31,707 35,451 82,113 95,121 246,339 355,823 739,017 1,067,469 3,202,407 9,607,221

Collatz Trajectory (93 steps to reach 1)

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

9,607,221 28,821,664 14,410,832 7,205,416 3,602,708 1,801,354 900,677 2,702,032 1,351,016 675,508 337,754 168,877 506,632 253,316 126,658 63,329 189,988 94,994 47,497 142,492 71,246 35,623 106,870 53,435 160,306 80,153 240,460 120,230 60,115 180,346 90,173 270,520 135,260 67,630 33,815 101,446 50,723 152,170 76,085 228,256 114,128 57,064 28,532 14,266 7,133 21,400 10,700 5,350 2,675 8,026 4,013 12,040 6,020 3,010 1,505 4,516 2,258 1,129 3,388 1,694

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