3 × 5 × 13 × 17²

Prime Factor Structure

Factorization String 3 × 5 × 13 × 17^2

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 103,152

Proper Divisor Sum 46,797

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #56333 ← → #56359

1 3 5 13 15 17 39 51 65 85 195 221 255 289 663 867 1,105 1,445 3,315 3,757 4,335 11,271 18,785 56,355

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

56,355 169,066 84,533 253,600 126,800 63,400 31,700 15,850 7,925 23,776 11,888 5,944 2,972 1,486 743 2,230 1,115 3,346 1,673 5,020 2,510 1,255 3,766 1,883 5,650 2,825 8,476 4,238 2,119 6,358 3,179 9,538 4,769 14,308 7,154 3,577 10,732 5,366 2,683 8,050 4,025 12,076 6,038 3,019 9,058 4,529 13,588 6,794 3,397 10,192 5,096 2,548 1,274 637 1,912 956 478 239 718 359

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