2 × 3³ × 7 × 11 × 101

Prime Factor Structure

Factorization String 2 × 3^3 × 7 × 11 × 101

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 1,175,040

Proper Divisor Sum 755,082

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #419953 ← → #419959

1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 99 101 126 154 189 198 202 231 297 303 378 462 594 606 693 707 909 1,111 1,386 1,414 1,818 2,079 2,121 2,222 2,727 3,333 4,158 4,242 5,454 6,363 6,666 7,777 9,999 12,726 15,554 19,089 19,998 23,331 29,997 38,178 46,662 59,994

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

419,958 209,979 629,938 314,969 944,908 472,454 236,227 708,682 354,341 1,063,024 531,512 265,756 132,878 66,439 199,318 99,659 298,978 149,489 448,468 224,234 112,117 336,352 168,176 84,088 42,044 21,022 10,511 31,534 15,767 47,302 23,651 70,954 35,477 106,432 53,216 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.