3⁵ × 5² × 7 × 107

Prime Factor Structure

Factorization String 3^5 × 5^2 × 7 × 107

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 9,749,376

Proper Divisor Sum 5,199,201

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #4550167 ← → #4550179

1 3 5 7 9 15 21 25 27 35 45 63 75 81 105 107 135 175 189 225 243 315 321 405 525 535 567 675 749 945 963 1,215 1,575 1,605 1,701 2,025 2,247 2,675 2,835 2,889 3,745 4,725 4,815 6,075 6,741 8,025 8,505 8,667 11,235 14,175 14,445 18,725 20,223 24,075 26,001 33,705 42,525 43,335 56,175 60,669

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

4,550,175 13,650,526 6,825,263 20,475,790 10,237,895 30,713,686 15,356,843 46,070,530 23,035,265 69,105,796 34,552,898 17,276,449 51,829,348 25,914,674 12,957,337 38,872,012 19,436,006 9,718,003 29,154,010 14,577,005 43,731,016 21,865,508 10,932,754 5,466,377 16,399,132 8,199,566 4,099,783 12,299,350 6,149,675 18,449,026 9,224,513 27,673,540 13,836,770 6,918,385 20,755,156 10,377,578 5,188,789 15,566,368 7,783,184 3,891,592 1,945,796 972,898 486,449 1,459,348 729,674 364,837 1,094,512 547,256 273,628 136,814 68,407 205,222 102,611 307,834 153,917 461,752 230,876 115,438 57,719 173,158

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