3³ × 5 × 7 × 401

Prime Factor Structure

Factorization String 3^3 × 5 × 7 × 401

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 771,840

Proper Divisor Sum 392,895

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #378941 ← → #378949

1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 401 945 1,203 2,005 2,807 3,609 6,015 8,421 10,827 14,035 18,045 25,263 42,105 54,135 75,789 126,315 378,945

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

378,945 1,136,836 568,418 284,209 852,628 426,314 213,157 639,472 319,736 159,868 79,934 39,967 119,902 59,951 179,854 89,927 269,782 134,891 404,674 202,337 607,012 303,506 151,753 455,260 227,630 113,815 341,446 170,723 512,170 256,085 768,256 384,128 192,064 96,032 48,016 24,008 12,004 6,002 3,001 9,004 4,502 2,251 6,754 3,377 10,132 5,066 2,533 7,600 3,800 1,900 950 475 1,426 713 2,140 1,070 535 1,606 803 2,410

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.