3 × 5 × 7⁴ × 11

Prime Factor Structure

Factorization String 3 × 5 × 7^4 × 11

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 806,688

Proper Divisor Sum 410,523

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #396157 ← → #396173

1 3 5 7 11 15 21 33 35 49 55 77 105 147 165 231 245 343 385 539 735 1,029 1,155 1,617 1,715 2,401 2,695 3,773 5,145 7,203 8,085 11,319 12,005 18,865 26,411 36,015 56,595 79,233 132,055 396,165

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

396,165 1,188,496 594,248 297,124 148,562 74,281 222,844 111,422 55,711 167,134 83,567 250,702 125,351 376,054 188,027 564,082 282,041 846,124 423,062 211,531 634,594 317,297 951,892 475,946 237,973 713,920 356,960 178,480 89,240 44,620 22,310 11,155 33,466 16,733 50,200 25,100 12,550 6,275 18,826 9,413 28,240 14,120 7,060 3,530 1,765 5,296 2,648 1,324 662 331 994 497 1,492 746 373 1,120 560 280 140 70

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