3 × 5³ × 7 × 13 × 23

Prime Factor Structure

Factorization String 3 × 5^3 × 7 × 13 × 23

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 1,677,312

Proper Divisor Sum 892,437

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #784867 ← → #784897

1 3 5 7 13 15 21 23 25 35 39 65 69 75 91 105 115 125 161 175 195 273 299 325 345 375 455 483 525 575 805 875 897 975 1,365 1,495 1,625 1,725 2,093 2,275 2,415 2,625 2,875 4,025 4,485 4,875 6,279 6,825 7,475 8,625 10,465 11,375 12,075 20,125 22,425 31,395 34,125 37,375 52,325 60,375

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

784,875 2,354,626 1,177,313 3,531,940 1,765,970 882,985 2,648,956 1,324,478 662,239 1,986,718 993,359 2,980,078 1,490,039 4,470,118 2,235,059 6,705,178 3,352,589 10,057,768 5,028,884 2,514,442 1,257,221 3,771,664 1,885,832 942,916 471,458 235,729 707,188 353,594 176,797 530,392 265,196 132,598 66,299 198,898 99,449 298,348 149,174 74,587 223,762 111,881 335,644 167,822 83,911 251,734 125,867 377,602 188,801 566,404 283,202 141,601 424,804 212,402 106,201 318,604 159,302 79,651 238,954 119,477 358,432 179,216

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