2³ × 3 × 2003

Prime Factor Structure

Factorization String 2^3 × 3 × 2003

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 120,240

Proper Divisor Sum 72,168

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #48049 ← → #48073

1 2 3 4 6 8 12 24 2,003 4,006 6,009 8,012 12,018 16,024 24,036 48,072

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

48,072 24,036 12,018 6,009 18,028 9,014 4,507 13,522 6,761 20,284 10,142 5,071 15,214 7,607 22,822 11,411 34,234 17,117 51,352 25,676 12,838 6,419 19,258 9,629 28,888 14,444 7,222 3,611 10,834 5,417 16,252 8,126 4,063 12,190 6,095 18,286 9,143 27,430 13,715 41,146 20,573 61,720 30,860 15,430 7,715 23,146 11,573 34,720 17,360 8,680 4,340 2,170 1,085 3,256 1,628 814 407 1,222 611 1,834

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