2 × 3 × 5 × 7 × 31 × 61

Prime Factor Structure

Factorization String 2 × 3 × 5 × 7 × 31 × 61

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 1,142,784

Proper Divisor Sum 745,674

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #397099 ← → #397127

1 2 3 5 6 7 10 14 15 21 30 31 35 42 61 62 70 93 105 122 155 183 186 210 217 305 310 366 427 434 465 610 651 854 915 930 1,085 1,281 1,302 1,830 1,891 2,135 2,170 2,562 3,255 3,782 4,270 5,673 6,405 6,510 9,455 11,346 12,810 13,237 18,910 26,474 28,365 39,711 56,730 66,185

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

397,110 198,555 595,666 297,833 893,500 446,750 223,375 670,126 335,063 1,005,190 502,595 1,507,786 753,893 2,261,680 1,130,840 565,420 282,710 141,355 424,066 212,033 636,100 318,050 159,025 477,076 238,538 119,269 357,808 178,904 89,452 44,726 22,363 67,090 33,545 100,636 50,318 25,159 75,478 37,739 113,218 56,609 169,828 84,914 42,457 127,372 63,686 31,843 95,530 47,765 143,296 71,648 35,824 17,912 8,956 4,478 2,239 6,718 3,359 10,078 5,039 15,118

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