2³ × 3³ × 13 × 181

Prime Factor Structure

Factorization String 2^3 × 3^3 × 13 × 181

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 1,528,800

Proper Divisor Sum 1,020,552

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #508243 ← → #508259

1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 181 216 234 312 351 362 468 543 702 724 936 1,086 1,404 1,448 1,629 2,172 2,353 2,808 3,258 4,344 4,706 4,887 6,516 7,059 9,412 9,774 13,032 14,118 18,824 19,548 21,177 28,236 39,096 42,354 56,472 63,531 84,708

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

508,248 254,124 127,062 63,531 190,594 95,297 285,892 142,946 71,473 214,420 107,210 53,605 160,816 80,408 40,204 20,102 10,051 30,154 15,077 45,232 22,616 11,308 5,654 2,827 8,482 4,241 12,724 6,362 3,181 9,544 4,772 2,386 1,193 3,580 1,790 895 2,686 1,343 4,030 2,015 6,046 3,023 9,070 4,535 13,606 6,803 20,410 10,205 30,616 15,308 7,654 3,827 11,482 5,741 17,224 8,612 4,306 2,153 6,460 3,230

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