7⁴ × 13²

Prime Factor Structure

Factorization String 7^4 × 13^2

Distinct Prime Factors 2

Square Status Yes (√405769 = 637)

Abundance Measure Deficient

Analytical Properties

Total Divisors 15

Divisor Sum (σ) 512,583

Proper Divisor Sum 106,814

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #405767 ← → #405781

1 7 13 49 91 169 343 637 1,183 2,401 4,459 8,281 31,213 57,967 405,769

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

405,769 1,217,308 608,654 304,327 912,982 456,491 1,369,474 684,737 2,054,212 1,027,106 513,553 1,540,660 770,330 385,165 1,155,496 577,748 288,874 144,437 433,312 216,656 108,328 54,164 27,082 13,541 40,624 20,312 10,156 5,078 2,539 7,618 3,809 11,428 5,714 2,857 8,572 4,286 2,143 6,430 3,215 9,646 4,823 14,470 7,235 21,706 10,853 32,560 16,280 8,140 4,070 2,035 6,106 3,053 9,160 4,580 2,290 1,145 3,436 1,718 859 2,578

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