9,999,375

3 × 5⁴ × 5333

9,999,375 factors as 3 × 5^4 × 5333. Its 20 positive divisors give a proper-divisor sum of 6,664,041, so this integer is deficient. The Collatz stopping time is 282 steps.

Prime Factor Structure

Factorization String 3 × 5^4 × 5333

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 16,663,416

Proper Divisor Sum 6,664,041

Digit Sum / Digital Root 51 (Root: 6)

Adjacent Primes #9999347 ← → #9999397

Radix Representation

Decimal	9999375
Binary	100110001001010000001111 (24 bits)
Octal	0o46112017
Hexadecimal	0x98940F

Divisor Catalog (20)

Collatz Trajectory (282 steps to reach 1)

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

9,999,375 29,998,126 14,999,063 44,997,190 22,498,595 67,495,786 33,747,893 101,243,680 50,621,840 25,310,920 12,655,460 6,327,730 3,163,865 9,491,596 4,745,798 2,372,899 7,118,698 3,559,349 10,678,048 5,339,024 2,669,512 1,334,756 667,378 333,689 1,001,068 500,534 250,267 750,802 375,401 1,126,204 563,102 281,551 844,654 422,327 1,266,982 633,491 1,900,474 950,237 2,850,712 1,425,356 712,678 356,339 1,069,018 534,509 1,603,528 801,764 400,882 200,441 601,324 300,662 150,331 450,994 225,497 676,492 338,246 169,123 507,370 253,685 761,056 380,528

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