2⁵ × 3³ × 37 × 251

Prime Factor Structure

Factorization String 2^5 × 3^3 × 37 × 251

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 24,131,520

Proper Divisor Sum 16,107,552

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #8023957 ← → #8023969

1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 72 74 96 108 111 144 148 216 222 251 288 296 333 432 444 502 592 666 753 864 888 999 1,004 1,184 1,332 1,506 1,776 1,998 2,008 2,259 2,664 3,012 3,552 3,996 4,016 4,518 5,328 6,024 6,777 7,992 8,032 9,036 9,287

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

8,023,968 4,011,984 2,005,992 1,002,996 501,498 250,749 752,248 376,124 188,062 94,031 282,094 141,047 423,142 211,571 634,714 317,357 952,072 476,036 238,018 119,009 357,028 178,514 89,257 267,772 133,886 66,943 200,830 100,415 301,246 150,623 451,870 225,935 677,806 338,903 1,016,710 508,355 1,525,066 762,533 2,287,600 1,143,800 571,900 285,950 142,975 428,926 214,463 643,390 321,695 965,086 482,543 1,447,630 723,815 2,171,446 1,085,723 3,257,170 1,628,585 4,885,756 2,442,878 1,221,439 3,664,318 1,832,159

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