2³ × 3³ × 29 × 67

Prime Factor Structure

Factorization String 2^3 × 3^3 × 29 × 67

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 1,224,000

Proper Divisor Sum 804,312

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #419687 ← → #419693

1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 67 72 87 108 116 134 174 201 216 232 261 268 348 402 522 536 603 696 783 804 1,044 1,206 1,566 1,608 1,809 1,943 2,088 2,412 3,132 3,618 3,886 4,824 5,829 6,264 7,236 7,772 11,658 14,472 15,544 17,487 23,316 34,974 46,632 52,461 69,948

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

419,688 209,844 104,922 52,461 157,384 78,692 39,346 19,673 59,020 29,510 14,755 44,266 22,133 66,400 33,200 16,600 8,300 4,150 2,075 6,226 3,113 9,340 4,670 2,335 7,006 3,503 10,510 5,255 15,766 7,883 23,650 11,825 35,476 17,738 8,869 26,608 13,304 6,652 3,326 1,663 4,990 2,495 7,486 3,743 11,230 5,615 16,846 8,423 25,270 12,635 37,906 18,953 56,860 28,430 14,215 42,646 21,323 63,970 31,985 95,956

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