3 × 5 × 7 × 13 × 47 × 157

Prime Factor Structure

Factorization String 3 × 5 × 7 × 13 × 47 × 157

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 20,385,792

Proper Divisor Sum 10,313,457

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #10072327 ← → #10072339

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

10,072,335 30,217,006 15,108,503 45,325,510 22,662,755 67,988,266 33,994,133 101,982,400 50,991,200 25,495,600 12,747,800 6,373,900 3,186,950 1,593,475 4,780,426 2,390,213 7,170,640 3,585,320 1,792,660 896,330 448,165 1,344,496 672,248 336,124 168,062 84,031 252,094 126,047 378,142 189,071 567,214 283,607 850,822 425,411 1,276,234 638,117 1,914,352 957,176 478,588 239,294 119,647 358,942 179,471 538,414 269,207 807,622 403,811 1,211,434 605,717 1,817,152 908,576 454,288 227,144 113,572 56,786 28,393 85,180 42,590 21,295 63,886

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