6,998,332

2² × 11 × 53 × 3001

6,998,332 factors as 2^2 × 11 × 53 × 3001. Its 24 positive divisors give a proper-divisor sum of 6,618,740, so this integer is deficient. The Collatz stopping time is 116 steps.

Prime Factor Structure

Factorization String 2^2 × 11 × 53 × 3001

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 13,617,072

Proper Divisor Sum 6,618,740

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #6998297 ← → #6998353

Radix Representation

Decimal	6998332
Binary	11010101100100100111100 (23 bits)
Octal	0o32544474
Hexadecimal	0x6AC93C

Divisor Catalog (24)

Collatz Trajectory (116 steps to reach 1)

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

6,998,332 3,499,166 1,749,583 5,248,750 2,624,375 7,873,126 3,936,563 11,809,690 5,904,845 17,714,536 8,857,268 4,428,634 2,214,317 6,642,952 3,321,476 1,660,738 830,369 2,491,108 1,245,554 622,777 1,868,332 934,166 467,083 1,401,250 700,625 2,101,876 1,050,938 525,469 1,576,408 788,204 394,102 197,051 591,154 295,577 886,732 443,366 221,683 665,050 332,525 997,576 498,788 249,394 124,697 374,092 187,046 93,523 280,570 140,285 420,856 210,428 105,214 52,607 157,822 78,911 236,734 118,367 355,102 177,551 532,654 266,327

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