2 × 3⁴ × 7 × 13 × 47

Prime Factor Structure

Factorization String 2 × 3^4 × 7 × 13 × 47

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 1,951,488

Proper Divisor Sum 1,258,614

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #692863 ← → #692893

1 2 3 6 7 9 13 14 18 21 26 27 39 42 47 54 63 78 81 91 94 117 126 141 162 182 189 234 273 282 329 351 378 423 546 567 611 658 702 819 846 987 1,053 1,134 1,222 1,269 1,638 1,833 1,974 2,106 2,457 2,538 2,961 3,666 3,807 4,277 4,914 5,499 5,922 7,371

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

692,874 346,437 1,039,312 519,656 259,828 129,914 64,957 194,872 97,436 48,718 24,359 73,078 36,539 109,618 54,809 164,428 82,214 41,107 123,322 61,661 184,984 92,492 46,246 23,123 69,370 34,685 104,056 52,028 26,014 13,007 39,022 19,511 58,534 29,267 87,802 43,901 131,704 65,852 32,926 16,463 49,390 24,695 74,086 37,043 111,130 55,565 166,696 83,348 41,674 20,837 62,512 31,256 15,628 7,814 3,907 11,722 5,861 17,584 8,792 4,396

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