3² × 5 × 7² × 17

Prime Factor Structure

Factorization String 3^2 × 5 × 7^2 × 17

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 80,028

Proper Divisor Sum 42,543

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #37483 ← → #37489

1 3 5 7 9 15 17 21 35 45 49 51 63 85 105 119 147 153 245 255 315 357 441 595 735 765 833 1,071 1,785 2,205 2,499 4,165 5,355 7,497 12,495 37,485

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

37,485 112,456 56,228 28,114 14,057 42,172 21,086 10,543 31,630 15,815 47,446 23,723 71,170 35,585 106,756 53,378 26,689 80,068 40,034 20,017 60,052 30,026 15,013 45,040 22,520 11,260 5,630 2,815 8,446 4,223 12,670 6,335 19,006 9,503 28,510 14,255 42,766 21,383 64,150 32,075 96,226 48,113 144,340 72,170 36,085 108,256 54,128 27,064 13,532 6,766 3,383 10,150 5,075 15,226 7,613 22,840 11,420 5,710 2,855 8,566

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