2² × 3² × 7 × 47 × 661

Prime Factor Structure

Factorization String 2^2 × 3^2 × 7 × 47 × 661

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 23,132,928

Proper Divisor Sum 15,304,044

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #7828879 ← → #7828913

1 2 3 4 6 7 9 12 14 18 21 28 36 42 47 63 84 94 126 141 188 252 282 329 423 564 658 661 846 987 1,316 1,322 1,692 1,974 1,983 2,644 2,961 3,948 3,966 4,627 5,922 5,949 7,932 9,254 11,844 11,898 13,881 18,508 23,796 27,762 31,067 41,643 55,524 62,134 83,286 93,201 124,268 166,572 186,402 217,469

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

7,828,884 3,914,442 1,957,221 5,871,664 2,935,832 1,467,916 733,958 366,979 1,100,938 550,469 1,651,408 825,704 412,852 206,426 103,213 309,640 154,820 77,410 38,705 116,116 58,058 29,029 87,088 43,544 21,772 10,886 5,443 16,330 8,165 24,496 12,248 6,124 3,062 1,531 4,594 2,297 6,892 3,446 1,723 5,170 2,585 7,756 3,878 1,939 5,818 2,909 8,728 4,364 2,182 1,091 3,274 1,637 4,912 2,456 1,228 614 307 922 461 1,384

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