3 × 5 × 7³ × 17

Prime Factor Structure

Factorization String 3 × 5 × 7^3 × 17

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 172,800

Proper Divisor Sum 85,335

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #87443 ← → #87473

1 3 5 7 15 17 21 35 49 51 85 105 119 147 245 255 343 357 595 735 833 1,029 1,715 1,785 2,499 4,165 5,145 5,831 12,495 17,493 29,155 87,465

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

87,465 262,396 131,198 65,599 196,798 98,399 295,198 147,599 442,798 221,399 664,198 332,099 996,298 498,149 1,494,448 747,224 373,612 186,806 93,403 280,210 140,105 420,316 210,158 105,079 315,238 157,619 472,858 236,429 709,288 354,644 177,322 88,661 265,984 132,992 66,496 33,248 16,624 8,312 4,156 2,078 1,039 3,118 1,559 4,678 2,339 7,018 3,509 10,528 5,264 2,632 1,316 658 329 988 494 247 742 371 1,114 557

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