2³ × 7 × 13 × 19 × 37

Prime Factor Structure

Factorization String 2^3 × 7 × 13 × 19 × 37

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 1,276,800

Proper Divisor Sum 765,016

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #511757 ← → #511787

1 2 4 7 8 13 14 19 26 28 37 38 52 56 74 76 91 104 133 148 152 182 247 259 266 296 364 481 494 518 532 703 728 962 988 1,036 1,064 1,406 1,729 1,924 1,976 2,072 2,812 3,367 3,458 3,848 4,921 5,624 6,734 6,916 9,139 9,842 13,468 13,832 18,278 19,684 26,936 36,556 39,368 63,973

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

511,784 255,892 127,946 63,973 191,920 95,960 47,980 23,990 11,995 35,986 17,993 53,980 26,990 13,495 40,486 20,243 60,730 30,365 91,096 45,548 22,774 11,387 34,162 17,081 51,244 25,622 12,811 38,434 19,217 57,652 28,826 14,413 43,240 21,620 10,810 5,405 16,216 8,108 4,054 2,027 6,082 3,041 9,124 4,562 2,281 6,844 3,422 1,711 5,134 2,567 7,702 3,851 11,554 5,777 17,332 8,666 4,333 13,000 6,500 3,250

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