9,727,173

3² × 1080797

9,727,173 factors as 3^2 × 1080797. Its 6 positive divisors give a proper-divisor sum of 4,323,201, so this integer is deficient. The Collatz stopping time is 225 steps.

Prime Factor Structure

Factorization String 3^2 × 1080797

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 14,050,374

Proper Divisor Sum 4,323,201

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #9727169 ← → #9727181

Radix Representation

Decimal	9727173
Binary	100101000110110011000101 (24 bits)
Octal	0o45066305
Hexadecimal	0x946CC5

Divisor Catalog (6)

1 3 9 1,080,797 3,242,391 9,727,173

Collatz Trajectory (225 steps to reach 1)

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

9,727,173 29,181,520 14,590,760 7,295,380 3,647,690 1,823,845 5,471,536 2,735,768 1,367,884 683,942 341,971 1,025,914 512,957 1,538,872 769,436 384,718 192,359 577,078 288,539 865,618 432,809 1,298,428 649,214 324,607 973,822 486,911 1,460,734 730,367 2,191,102 1,095,551 3,286,654 1,643,327 4,929,982 2,464,991 7,394,974 3,697,487 11,092,462 5,546,231 16,638,694 8,319,347 24,958,042 12,479,021 37,437,064 18,718,532 9,359,266 4,679,633 14,038,900 7,019,450 3,509,725 10,529,176 5,264,588 2,632,294 1,316,147 3,948,442 1,974,221 5,922,664 2,961,332 1,480,666 740,333 2,221,000

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