3⁵ × 5 × 7 × 37 × 73

Prime Factor Structure

Factorization String 3^5 × 5 × 7 × 37 × 73

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 49,131,264

Proper Divisor Sum 26,159,259

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #22972003 ← → #22972067

1 3 5 7 9 15 21 27 35 37 45 63 73 81 105 111 135 185 189 219 243 259 315 333 365 405 511 555 567 657 777 945 999 1,095 1,215 1,295 1,533 1,665 1,701 1,971 2,331 2,555 2,701 2,835 2,997 3,285 3,885 4,599 4,995 5,913 6,993 7,665 8,103 8,505 8,991 9,855 11,655 13,505 13,797 14,985

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

22,972,005 68,916,016 34,458,008 17,229,004 8,614,502 4,307,251 12,921,754 6,460,877 19,382,632 9,691,316 4,845,658 2,422,829 7,268,488 3,634,244 1,817,122 908,561 2,725,684 1,362,842 681,421 2,044,264 1,022,132 511,066 255,533 766,600 383,300 191,650 95,825 287,476 143,738 71,869 215,608 107,804 53,902 26,951 80,854 40,427 121,282 60,641 181,924 90,962 45,481 136,444 68,222 34,111 102,334 51,167 153,502 76,751 230,254 115,127 345,382 172,691 518,074 259,037 777,112 388,556 194,278 97,139 291,418 145,709

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