2 × 3⁴ × 53 × 61

Prime Factor Structure

Factorization String 2 × 3^4 × 53 × 61

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 1,215,324

Proper Divisor Sum 691,578

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #523741 ← → #523759

1 2 3 6 9 18 27 53 54 61 81 106 122 159 162 183 318 366 477 549 954 1,098 1,431 1,647 2,862 3,233 3,294 4,293 4,941 6,466 8,586 9,699 9,882 19,398 29,097 58,194 87,291 174,582 261,873 523,746

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

523,746 261,873 785,620 392,810 196,405 589,216 294,608 147,304 73,652 36,826 18,413 55,240 27,620 13,810 6,905 20,716 10,358 5,179 15,538 7,769 23,308 11,654 5,827 17,482 8,741 26,224 13,112 6,556 3,278 1,639 4,918 2,459 7,378 3,689 11,068 5,534 2,767 8,302 4,151 12,454 6,227 18,682 9,341 28,024 14,012 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

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