3³ × 5 × 7 × 419

Prime Factor Structure

Factorization String 3^3 × 5 × 7 × 419

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 806,400

Proper Divisor Sum 410,445

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #395953 ← → #395959

1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 419 945 1,257 2,095 2,933 3,771 6,285 8,799 11,313 14,665 18,855 26,397 43,995 56,565 79,191 131,985 395,955

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

395,955 1,187,866 593,933 1,781,800 890,900 445,450 222,725 668,176 334,088 167,044 83,522 41,761 125,284 62,642 31,321 93,964 46,982 23,491 70,474 35,237 105,712 52,856 26,428 13,214 6,607 19,822 9,911 29,734 14,867 44,602 22,301 66,904 33,452 16,726 8,363 25,090 12,545 37,636 18,818 9,409 28,228 14,114 7,057 21,172 10,586 5,293 15,880 7,940 3,970 1,985 5,956 2,978 1,489 4,468 2,234 1,117 3,352 1,676 838 419

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