3⁴ × 5 × 7 × 173

Prime Factor Structure

Factorization String 3^4 × 5 × 7 × 173

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 1,010,592

Proper Divisor Sum 520,137

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #490453 ← → #490459

1 3 5 7 9 15 21 27 35 45 63 81 105 135 173 189 315 405 519 567 865 945 1,211 1,557 2,595 2,835 3,633 4,671 6,055 7,785 10,899 14,013 18,165 23,355 32,697 54,495 70,065 98,091 163,485 490,455

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

490,455 1,471,366 735,683 2,207,050 1,103,525 3,310,576 1,655,288 827,644 413,822 206,911 620,734 310,367 931,102 465,551 1,396,654 698,327 2,094,982 1,047,491 3,142,474 1,571,237 4,713,712 2,356,856 1,178,428 589,214 294,607 883,822 441,911 1,325,734 662,867 1,988,602 994,301 2,982,904 1,491,452 745,726 372,863 1,118,590 559,295 1,677,886 838,943 2,516,830 1,258,415 3,775,246 1,887,623 5,662,870 2,831,435 8,494,306 4,247,153 12,741,460 6,370,730 3,185,365 9,556,096 4,778,048 2,389,024 1,194,512 597,256 298,628 149,314 74,657 223,972 111,986

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