3⁴ × 5 × 7² × 19

Prime Factor Structure

Factorization String 3^4 × 5 × 7^2 × 19

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 60

Divisor Sum (σ) 827,640

Proper Divisor Sum 450,585

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #377051 ← → #377059

1 3 5 7 9 15 19 21 27 35 45 49 57 63 81 95 105 133 135 147 171 189 245 285 315 399 405 441 513 567 665 735 855 931 945 1,197 1,323 1,539 1,995 2,205 2,565 2,793 2,835 3,591 3,969 4,655 5,985 6,615 7,695 8,379 10,773 13,965 17,955 19,845 25,137 41,895 53,865 75,411 125,685 377,055

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

377,055 1,131,166 565,583 1,696,750 848,375 2,545,126 1,272,563 3,817,690 1,908,845 5,726,536 2,863,268 1,431,634 715,817 2,147,452 1,073,726 536,863 1,610,590 805,295 2,415,886 1,207,943 3,623,830 1,811,915 5,435,746 2,717,873 8,153,620 4,076,810 2,038,405 6,115,216 3,057,608 1,528,804 764,402 382,201 1,146,604 573,302 286,651 859,954 429,977 1,289,932 644,966 322,483 967,450 483,725 1,451,176 725,588 362,794 181,397 544,192 272,096 136,048 68,024 34,012 17,006 8,503 25,510 12,755 38,266 19,133 57,400 28,700 14,350

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