3 × 5 × 7² × 19 × 29

Prime Factor Structure

Factorization String 3 × 5 × 7^2 × 19 × 29

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 820,800

Proper Divisor Sum 415,815

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #404983 ← → #405001

1 3 5 7 15 19 21 29 35 49 57 87 95 105 133 145 147 203 245 285 399 435 551 609 665 735 931 1,015 1,421 1,653 1,995 2,755 2,793 3,045 3,857 4,263 4,655 7,105 8,265 11,571 13,965 19,285 21,315 26,999 57,855 80,997 134,995 404,985

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

404,985 1,214,956 607,478 303,739 911,218 455,609 1,366,828 683,414 341,707 1,025,122 512,561 1,537,684 768,842 384,421 1,153,264 576,632 288,316 144,158 72,079 216,238 108,119 324,358 162,179 486,538 243,269 729,808 364,904 182,452 91,226 45,613 136,840 68,420 34,210 17,105 51,316 25,658 12,829 38,488 19,244 9,622 4,811 14,434 7,217 21,652 10,826 5,413 16,240 8,120 4,060 2,030 1,015 3,046 1,523 4,570 2,285 6,856 3,428 1,714 857 2,572

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