2³ × 3 × 13² × 101

Prime Factor Structure

Factorization String 2^3 × 3 × 13^2 × 101

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 1,119,960

Proper Divisor Sum 710,304

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #409639 ← → #409657

1 2 3 4 6 8 12 13 24 26 39 52 78 101 104 156 169 202 303 312 338 404 507 606 676 808 1,014 1,212 1,313 1,352 2,028 2,424 2,626 3,939 4,056 5,252 7,878 10,504 15,756 17,069 31,512 34,138 51,207 68,276 102,414 136,552 204,828 409,656

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

409,656 204,828 102,414 51,207 153,622 76,811 230,434 115,217 345,652 172,826 86,413 259,240 129,620 64,810 32,405 97,216 48,608 24,304 12,152 6,076 3,038 1,519 4,558 2,279 6,838 3,419 10,258 5,129 15,388 7,694 3,847 11,542 5,771 17,314 8,657 25,972 12,986 6,493 19,480 9,740 4,870 2,435 7,306 3,653 10,960 5,480 2,740 1,370 685 2,056 1,028 514 257 772 386 193 580 290 145 436

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