3⁴ × 7² × 11 × 17 × 61

Prime Factor Structure

Factorization String 3^4 × 7^2 × 11 × 17 × 61

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 92,364,624

Proper Divisor Sum 47,090,241

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #45274351 ← → #45274387

1 3 7 9 11 17 21 27 33 49 51 61 63 77 81 99 119 147 153 183 187 189 231 297 357 427 441 459 539 549 561 567 671 693 833 891 1,037 1,071 1,281 1,309 1,323 1,377 1,617 1,647 1,683 2,013 2,079 2,499 2,989 3,111 3,213 3,843 3,927 3,969 4,697 4,851 4,941 5,049 6,039 6,237

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

45,274,383 135,823,150 67,911,575 203,734,726 101,867,363 305,602,090 152,801,045 458,403,136 229,201,568 114,600,784 57,300,392 28,650,196 14,325,098 7,162,549 21,487,648 10,743,824 5,371,912 2,685,956 1,342,978 671,489 2,014,468 1,007,234 503,617 1,510,852 755,426 377,713 1,133,140 566,570 283,285 849,856 424,928 212,464 106,232 53,116 26,558 13,279 39,838 19,919 59,758 29,879 89,638 44,819 134,458 67,229 201,688 100,844 50,422 25,211 75,634 37,817 113,452 56,726 28,363 85,090 42,545 127,636 63,818 31,909 95,728 47,864

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