3² × 5 × 7 × 29 × 5167

Prime Factor Structure

Factorization String 3^2 × 5 × 7 × 29 × 5167

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 96,744,960

Proper Divisor Sum 49,544,415

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #47200529 ← → #47200547

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

47,200,545 141,601,636 70,800,818 35,400,409 106,201,228 53,100,614 26,550,307 79,650,922 39,825,461 119,476,384 59,738,192 29,869,096 14,934,548 7,467,274 3,733,637 11,200,912 5,600,456 2,800,228 1,400,114 700,057 2,100,172 1,050,086 525,043 1,575,130 787,565 2,362,696 1,181,348 590,674 295,337 886,012 443,006 221,503 664,510 332,255 996,766 498,383 1,495,150 747,575 2,242,726 1,121,363 3,364,090 1,682,045 5,046,136 2,523,068 1,261,534 630,767 1,892,302 946,151 2,838,454 1,419,227 4,257,682 2,128,841 6,386,524 3,193,262 1,596,631 4,789,894 2,394,947 7,184,842 3,592,421 10,777,264

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