3³ × 5² × 7² × 61

Prime Factor Structure

Factorization String 3^3 × 5^2 × 7^2 × 61

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 4,382,160

Proper Divisor Sum 2,364,585

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #2017567 ← → #2017579

1 3 5 7 9 15 21 25 27 35 45 49 61 63 75 105 135 147 175 183 189 225 245 305 315 427 441 525 549 675 735 915 945 1,225 1,281 1,323 1,525 1,575 1,647 2,135 2,205 2,745 2,989 3,675 3,843 4,575 4,725 6,405 6,615 8,235 8,967 10,675 11,025 11,529 13,725 14,945 19,215 26,901 32,025 33,075

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

2,017,575 6,052,726 3,026,363 9,079,090 4,539,545 13,618,636 6,809,318 3,404,659 10,213,978 5,106,989 15,320,968 7,660,484 3,830,242 1,915,121 5,745,364 2,872,682 1,436,341 4,309,024 2,154,512 1,077,256 538,628 269,314 134,657 403,972 201,986 100,993 302,980 151,490 75,745 227,236 113,618 56,809 170,428 85,214 42,607 127,822 63,911 191,734 95,867 287,602 143,801 431,404 215,702 107,851 323,554 161,777 485,332 242,666 121,333 364,000 182,000 91,000 45,500 22,750 11,375 34,126 17,063 51,190 25,595 76,786

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