2² × 3⁶ × 5²

Prime Factor Structure

Factorization String 2^2 × 3^6 × 5^2

Distinct Prime Factors 3

Square Status Yes (√72900 = 270)

Abundance Measure Abundant

Analytical Properties

Total Divisors 63

Divisor Sum (σ) 237,181

Proper Divisor Sum 164,281

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #72893 ← → #72901

1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 135 150 162 180 225 243 270 300 324 405 450 486 540 675 729 810 900 972 1,215 1,350 1,458 1,620 2,025 2,430 2,700 2,916 3,645 4,050 4,860 6,075 7,290 8,100 12,150 14,580 18,225

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

72,900 36,450 18,225 54,676 27,338 13,669 41,008 20,504 10,252 5,126 2,563 7,690 3,845 11,536 5,768 2,884 1,442 721 2,164 1,082 541 1,624 812 406 203 610 305 916 458 229 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16

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