2² × 3² × 5 × 31 × 73

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5 × 31 × 73

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 1,292,928

Proper Divisor Sum 885,588

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #407321 ← → #407347

1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 73 90 93 124 146 155 180 186 219 279 292 310 365 372 438 465 558 620 657 730 876 930 1,095 1,116 1,314 1,395 1,460 1,860 2,190 2,263 2,628 2,790 3,285 4,380 4,526 5,580 6,570 6,789 9,052 11,315 13,140 13,578

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

407,340 203,670 101,835 305,506 152,753 458,260 229,130 114,565 343,696 171,848 85,924 42,962 21,481 64,444 32,222 16,111 48,334 24,167 72,502 36,251 108,754 54,377 163,132 81,566 40,783 122,350 61,175 183,526 91,763 275,290 137,645 412,936 206,468 103,234 51,617 154,852 77,426 38,713 116,140 58,070 29,035 87,106 43,553 130,660 65,330 32,665 97,996 48,998 24,499 73,498 36,749 110,248 55,124 27,562 13,781 41,344 20,672 10,336 5,168 2,584

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