3 × 5 × 7² × 103

Prime Factor Structure

Factorization String 3 × 5 × 7^2 × 103

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 142,272

Proper Divisor Sum 66,567

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #75703 ← → #75707

1 3 5 7 15 21 35 49 103 105 147 245 309 515 721 735 1,545 2,163 3,605 5,047 10,815 15,141 25,235 75,705

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

75,705 227,116 113,558 56,779 170,338 85,169 255,508 127,754 63,877 191,632 95,816 47,908 23,954 11,977 35,932 17,966 8,983 26,950 13,475 40,426 20,213 60,640 30,320 15,160 7,580 3,790 1,895 5,686 2,843 8,530 4,265 12,796 6,398 3,199 9,598 4,799 14,398 7,199 21,598 10,799 32,398 16,199 48,598 24,299 72,898 36,449 109,348 54,674 27,337 82,012 41,006 20,503 61,510 30,755 92,266 46,133 138,400 69,200 34,600 17,300

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