2 × 3⁵ × 17 × 23 × 53

Prime Factor Structure

Factorization String 2 × 3^5 × 17 × 23 × 53

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 25,474,176

Proper Divisor Sum 15,402,798

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #10071377 ← → #10071379

1 2 3 6 9 17 18 23 27 34 46 51 53 54 69 81 102 106 138 153 159 162 207 243 306 318 391 414 459 477 486 621 782 901 918 954 1,173 1,219 1,242 1,377 1,431 1,802 1,863 2,346 2,438 2,703 2,754 2,862 3,519 3,657 3,726 4,131 4,293 5,406 5,589 7,038 7,314 8,109 8,262 8,586

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

10,071,378 5,035,689 15,107,068 7,553,534 3,776,767 11,330,302 5,665,151 16,995,454 8,497,727 25,493,182 12,746,591 38,239,774 19,119,887 57,359,662 28,679,831 86,039,494 43,019,747 129,059,242 64,529,621 193,588,864 96,794,432 48,397,216 24,198,608 12,099,304 6,049,652 3,024,826 1,512,413 4,537,240 2,268,620 1,134,310 567,155 1,701,466 850,733 2,552,200 1,276,100 638,050 319,025 957,076 478,538 239,269 717,808 358,904 179,452 89,726 44,863 134,590 67,295 201,886 100,943 302,830 151,415 454,246 227,123 681,370 340,685 1,022,056 511,028 255,514 127,757 383,272

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