2 × 3² × 13 × 19 × 61 × 157

Prime Factor Structure

Factorization String 2 × 3^2 × 13 × 19 × 61 × 157

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 106,972,320

Proper Divisor Sum 64,392,978

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #42579319 ← → #42579347

1 2 3 6 9 13 18 19 26 38 39 57 61 78 114 117 122 157 171 183 234 247 314 342 366 471 494 549 741 793 942 1,098 1,159 1,413 1,482 1,586 2,041 2,223 2,318 2,379 2,826 2,983 3,477 4,082 4,446 4,758 5,966 6,123 6,954 7,137 8,949 9,577 10,431 12,246 14,274 15,067 17,898 18,369 19,154 20,862

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

42,579,342 21,289,671 63,869,014 31,934,507 95,803,522 47,901,761 143,705,284 71,852,642 35,926,321 107,778,964 53,889,482 26,944,741 80,834,224 40,417,112 20,208,556 10,104,278 5,052,139 15,156,418 7,578,209 22,734,628 11,367,314 5,683,657 17,050,972 8,525,486 4,262,743 12,788,230 6,394,115 19,182,346 9,591,173 28,773,520 14,386,760 7,193,380 3,596,690 1,798,345 5,395,036 2,697,518 1,348,759 4,046,278 2,023,139 6,069,418 3,034,709 9,104,128 4,552,064 2,276,032 1,138,016 569,008 284,504 142,252 71,126 35,563 106,690 53,345 160,036 80,018 40,009 120,028 60,014 30,007 90,022 45,011

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