2² × 7³ × 19 × 37 × 53

Prime Factor Structure

Factorization String 2^2 × 7^3 × 19 × 37 × 53

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 114,912,000

Proper Divisor Sum 63,792,652

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #51119347 ← → #51119353

1 2 4 7 14 19 28 37 38 49 53 74 76 98 106 133 148 196 212 259 266 343 371 518 532 686 703 742 931 1,007 1,036 1,372 1,406 1,484 1,813 1,862 1,961 2,014 2,597 2,812 3,626 3,724 3,922 4,028 4,921 5,194 6,517 7,049 7,252 7,844 9,842 10,388 12,691 13,034 13,727 14,098 18,179 19,684 25,382 26,068

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

51,119,348 25,559,674 12,779,837 38,339,512 19,169,756 9,584,878 4,792,439 14,377,318 7,188,659 21,565,978 10,782,989 32,348,968 16,174,484 8,087,242 4,043,621 12,130,864 6,065,432 3,032,716 1,516,358 758,179 2,274,538 1,137,269 3,411,808 1,705,904 852,952 426,476 213,238 106,619 319,858 159,929 479,788 239,894 119,947 359,842 179,921 539,764 269,882 134,941 404,824 202,412 101,206 50,603 151,810 75,905 227,716 113,858 56,929 170,788 85,394 42,697 128,092 64,046 32,023 96,070 48,035 144,106 72,053 216,160 108,080 54,040

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