2³ × 3⁴ × 53 × 223

Prime Factor Structure

Factorization String 2^3 × 3^4 × 53 × 223

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 21,954,240

Proper Divisor Sum 14,295,528

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #7658689 ← → #7658713

1 2 3 4 6 8 9 12 18 24 27 36 53 54 72 81 106 108 159 162 212 216 223 318 324 424 446 477 636 648 669 892 954 1,272 1,338 1,431 1,784 1,908 2,007 2,676 2,862 3,816 4,014 4,293 5,352 5,724 6,021 8,028 8,586 11,448 11,819 12,042 16,056 17,172 18,063 23,638 24,084 34,344 35,457 36,126

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

7,658,712 3,829,356 1,914,678 957,339 2,872,018 1,436,009 4,308,028 2,154,014 1,077,007 3,231,022 1,615,511 4,846,534 2,423,267 7,269,802 3,634,901 10,904,704 5,452,352 2,726,176 1,363,088 681,544 340,772 170,386 85,193 255,580 127,790 63,895 191,686 95,843 287,530 143,765 431,296 215,648 107,824 53,912 26,956 13,478 6,739 20,218 10,109 30,328 15,164 7,582 3,791 11,374 5,687 17,062 8,531 25,594 12,797 38,392 19,196 9,598 4,799 14,398 7,199 21,598 10,799 32,398 16,199 48,598

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