3 × 5² × 7 × 97

Prime Factor Structure

Factorization String 3 × 5^2 × 7 × 97

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 97,216

Proper Divisor Sum 46,291

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #50923 ← → #50929

1 3 5 7 15 21 25 35 75 97 105 175 291 485 525 679 1,455 2,037 2,425 3,395 7,275 10,185 16,975 50,925

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

50,925 152,776 76,388 38,194 19,097 57,292 28,646 14,323 42,970 21,485 64,456 32,228 16,114 8,057 24,172 12,086 6,043 18,130 9,065 27,196 13,598 6,799 20,398 10,199 30,598 15,299 45,898 22,949 68,848 34,424 17,212 8,606 4,303 12,910 6,455 19,366 9,683 29,050 14,525 43,576 21,788 10,894 5,447 16,342 8,171 24,514 12,257 36,772 18,386 9,193 27,580 13,790 6,895 20,686 10,343 31,030 15,515 46,546 23,273 69,820

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