3 × 13³ × 89

Prime Factor Structure

Factorization String 3 × 13^3 × 89

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 856,800

Proper Divisor Sum 270,201

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #586589 ← → #586601

1 3 13 39 89 169 267 507 1,157 2,197 3,471 6,591 15,041 45,123 195,533 586,599

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

586,599 1,759,798 879,899 2,639,698 1,319,849 3,959,548 1,979,774 989,887 2,969,662 1,484,831 4,454,494 2,227,247 6,681,742 3,340,871 10,022,614 5,011,307 15,033,922 7,516,961 22,550,884 11,275,442 5,637,721 16,913,164 8,456,582 4,228,291 12,684,874 6,342,437 19,027,312 9,513,656 4,756,828 2,378,414 1,189,207 3,567,622 1,783,811 5,351,434 2,675,717 8,027,152 4,013,576 2,006,788 1,003,394 501,697 1,505,092 752,546 376,273 1,128,820 564,410 282,205 846,616 423,308 211,654 105,827 317,482 158,741 476,224 238,112 119,056 59,528 29,764 14,882 7,441 22,324

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