9,813,475

5² × 7² × 8011

9,813,475 factors as 5^2 × 7^2 × 8011. Its 18 positive divisors give a proper-divisor sum of 4,343,729, so this integer is deficient. The Collatz stopping time is 207 steps.

Prime Factor Structure

Factorization String 5^2 × 7^2 × 8011

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 14,157,204

Proper Divisor Sum 4,343,729

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #9813469 ← → #9813487

Radix Representation

Decimal	9813475
Binary	100101011011110111100011 (24 bits)
Octal	0o45336743
Hexadecimal	0x95BDE3

Divisor Catalog (18)

1 5 7 25 35 49 175 245 1,225 8,011 40,055 56,077 200,275 280,385 392,539 1,401,925 1,962,695 9,813,475

Collatz Trajectory (207 steps to reach 1)

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

9,813,475 29,440,426 14,720,213 44,160,640 22,080,320 11,040,160 5,520,080 2,760,040 1,380,020 690,010 345,005 1,035,016 517,508 258,754 129,377 388,132 194,066 97,033 291,100 145,550 72,775 218,326 109,163 327,490 163,745 491,236 245,618 122,809 368,428 184,214 92,107 276,322 138,161 414,484 207,242 103,621 310,864 155,432 77,716 38,858 19,429 58,288 29,144 14,572 7,286 3,643 10,930 5,465 16,396 8,198 4,099 12,298 6,149 18,448 9,224 4,612 2,306 1,153 3,460 1,730

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