2 × 3⁴ × 19² × 577

Prime Factor Structure

Factorization String 2 × 3^4 × 19^2 × 577

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 60

Divisor Sum (σ) 79,939,134

Proper Divisor Sum 46,195,020

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #33744103 ← → #33744119

1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 342 361 513 577 722 1,026 1,083 1,154 1,539 1,731 2,166 3,078 3,249 3,462 5,193 6,498 9,747 10,386 10,963 15,579 19,494 21,926 29,241 31,158 32,889 46,737 58,482 65,778 93,474 98,667 197,334 208,297 296,001 416,594 592,002 624,891 888,003 1,249,782 1,776,006 1,874,673 3,749,346 5,624,019 11,248,038 16,872,057 33,744,114

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

33,744,114 16,872,057 50,616,172 25,308,086 12,654,043 37,962,130 18,981,065 56,943,196 28,471,598 14,235,799 42,707,398 21,353,699 64,061,098 32,030,549 96,091,648 48,045,824 24,022,912 12,011,456 6,005,728 3,002,864 1,501,432 750,716 375,358 187,679 563,038 281,519 844,558 422,279 1,266,838 633,419 1,900,258 950,129 2,850,388 1,425,194 712,597 2,137,792 1,068,896 534,448 267,224 133,612 66,806 33,403 100,210 50,105 150,316 75,158 37,579 112,738 56,369 169,108 84,554 42,277 126,832 63,416 31,708 15,854 7,927 23,782 11,891 35,674

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