2 × 3 × 7 × 29 × 31

Prime Factor Structure

Factorization String 2 × 3 × 7 × 29 × 31

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 92,160

Proper Divisor Sum 54,402

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #37747 ← → #37781

1 2 3 6 7 14 21 29 31 42 58 62 87 93 174 186 203 217 406 434 609 651 899 1,218 1,302 1,798 2,697 5,394 6,293 12,586 18,879 37,758

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

37,758 18,879 56,638 28,319 84,958 42,479 127,438 63,719 191,158 95,579 286,738 143,369 430,108 215,054 107,527 322,582 161,291 483,874 241,937 725,812 362,906 181,453 544,360 272,180 136,090 68,045 204,136 102,068 51,034 25,517 76,552 38,276 19,138 9,569 28,708 14,354 7,177 21,532 10,766 5,383 16,150 8,075 24,226 12,113 36,340 18,170 9,085 27,256 13,628 6,814 3,407 10,222 5,111 15,334 7,667 23,002 11,501 34,504 17,252 8,626

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