3³ × 5² × 7² × 53

Prime Factor Structure

Factorization String 3^3 × 5^2 × 7^2 × 53

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 3,816,720

Proper Divisor Sum 2,063,745

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #1752953 ← → #1752977

1 3 5 7 9 15 21 25 27 35 45 49 53 63 75 105 135 147 159 175 189 225 245 265 315 371 441 477 525 675 735 795 945 1,113 1,225 1,323 1,325 1,431 1,575 1,855 2,205 2,385 2,597 3,339 3,675 3,975 4,725 5,565 6,615 7,155 7,791 9,275 10,017 11,025 11,925 12,985 16,695 23,373 27,825 33,075

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

1,752,975 5,258,926 2,629,463 7,888,390 3,944,195 11,832,586 5,916,293 17,748,880 8,874,440 4,437,220 2,218,610 1,109,305 3,327,916 1,663,958 831,979 2,495,938 1,247,969 3,743,908 1,871,954 935,977 2,807,932 1,403,966 701,983 2,105,950 1,052,975 3,158,926 1,579,463 4,738,390 2,369,195 7,107,586 3,553,793 10,661,380 5,330,690 2,665,345 7,996,036 3,998,018 1,999,009 5,997,028 2,998,514 1,499,257 4,497,772 2,248,886 1,124,443 3,373,330 1,686,665 5,059,996 2,529,998 1,264,999 3,794,998 1,897,499 5,692,498 2,846,249 8,538,748 4,269,374 2,134,687 6,404,062 3,202,031 9,606,094 4,803,047 14,409,142

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