2⁵ × 7² × 11 × 23

Prime Factor Structure

Factorization String 2^5 × 7^2 × 11 × 23

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 1,034,208

Proper Divisor Sum 637,504

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #396703 ← → #396709

1 2 4 7 8 11 14 16 22 23 28 32 44 46 49 56 77 88 92 98 112 154 161 176 184 196 224 253 308 322 352 368 392 506 539 616 644 736 784 1,012 1,078 1,127 1,232 1,288 1,568 1,771 2,024 2,156 2,254 2,464 2,576 3,542 4,048 4,312 4,508 5,152 7,084 8,096 8,624 9,016

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

396,704 198,352 99,176 49,588 24,794 12,397 37,192 18,596 9,298 4,649 13,948 6,974 3,487 10,462 5,231 15,694 7,847 23,542 11,771 35,314 17,657 52,972 26,486 13,243 39,730 19,865 59,596 29,798 14,899 44,698 22,349 67,048 33,524 16,762 8,381 25,144 12,572 6,286 3,143 9,430 4,715 14,146 7,073 21,220 10,610 5,305 15,916 7,958 3,979 11,938 5,969 17,908 8,954 4,477 13,432 6,716 3,358 1,679 5,038 2,519

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