2⁶ × 3² × 23 × 2999

Prime Factor Structure

Factorization String 2^6 × 3^2 × 23 × 2999

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 84

Divisor Sum (σ) 118,872,000

Proper Divisor Sum 79,141,248

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #39730723 ← → #39730771

1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 138 144 184 192 207 276 288 368 414 552 576 736 828 1,104 1,472 1,656 2,208 2,999 3,312 4,416 5,998 6,624 8,997 11,996 13,248 17,994 23,992 26,991 35,988 47,984 53,982 68,977 71,976 95,968 107,964 137,954 143,952 191,936 206,931

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

39,730,752 19,865,376 9,932,688 4,966,344 2,483,172 1,241,586 620,793 1,862,380 931,190 465,595 1,396,786 698,393 2,095,180 1,047,590 523,795 1,571,386 785,693 2,357,080 1,178,540 589,270 294,635 883,906 441,953 1,325,860 662,930 331,465 994,396 497,198 248,599 745,798 372,899 1,118,698 559,349 1,678,048 839,024 419,512 209,756 104,878 52,439 157,318 78,659 235,978 117,989 353,968 176,984 88,492 44,246 22,123 66,370 33,185 99,556 49,778 24,889 74,668 37,334 18,667 56,002 28,001 84,004 42,002

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