3 × 5 × 7² × 131

Prime Factor Structure

Factorization String 3 × 5 × 7^2 × 131

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 180,576

Proper Divisor Sum 84,291

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #96281 ← → #96289

1 3 5 7 15 21 35 49 105 131 147 245 393 655 735 917 1,965 2,751 4,585 6,419 13,755 19,257 32,095 96,285

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

96,285 288,856 144,428 72,214 36,107 108,322 54,161 162,484 81,242 40,621 121,864 60,932 30,466 15,233 45,700 22,850 11,425 34,276 17,138 8,569 25,708 12,854 6,427 19,282 9,641 28,924 14,462 7,231 21,694 10,847 32,542 16,271 48,814 24,407 73,222 36,611 109,834 54,917 164,752 82,376 41,188 20,594 10,297 30,892 15,446 7,723 23,170 11,585 34,756 17,378 8,689 26,068 13,034 6,517 19,552 9,776 4,888 2,444 1,222 611

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