2⁵ × 3⁵ × 53

Prime Factor Structure

Factorization String 2^5 × 3^5 × 53

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 1,238,328

Proper Divisor Sum 826,200

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #412127 ← → #412133

1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 53 54 72 81 96 106 108 144 159 162 212 216 243 288 318 324 424 432 477 486 636 648 848 864 954 972 1,272 1,296 1,431 1,696 1,908 1,944 2,544 2,592 2,862 3,816 3,888 4,293 5,088 5,724 7,632 7,776 8,586 11,448 12,879

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

412,128 206,064 103,032 51,516 25,758 12,879 38,638 19,319 57,958 28,979 86,938 43,469 130,408 65,204 32,602 16,301 48,904 24,452 12,226 6,113 18,340 9,170 4,585 13,756 6,878 3,439 10,318 5,159 15,478 7,739 23,218 11,609 34,828 17,414 8,707 26,122 13,061 39,184 19,592 9,796 4,898 2,449 7,348 3,674 1,837 5,512 2,756 1,378 689 2,068 1,034 517 1,552 776 388 194 97 292 146 73

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