3 × 13² × 821

Prime Factor Structure

Factorization String 3 × 13^2 × 821

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 601,704

Proper Divisor Sum 185,457

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #416243 ← → #416249

1 3 13 39 169 507 821 2,463 10,673 32,019 138,749 416,247

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

416,247 1,248,742 624,371 1,873,114 936,557 2,809,672 1,404,836 702,418 351,209 1,053,628 526,814 263,407 790,222 395,111 1,185,334 592,667 1,778,002 889,001 2,667,004 1,333,502 666,751 2,000,254 1,000,127 3,000,382 1,500,191 4,500,574 2,250,287 6,750,862 3,375,431 10,126,294 5,063,147 15,189,442 7,594,721 22,784,164 11,392,082 5,696,041 17,088,124 8,544,062 4,272,031 12,816,094 6,408,047 19,224,142 9,612,071 28,836,214 14,418,107 43,254,322 21,627,161 64,881,484 32,440,742 16,220,371 48,661,114 24,330,557 72,991,672 36,495,836 18,247,918 9,123,959 27,371,878 13,685,939 41,057,818 20,528,909

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