2⁵ × 3² × 19 × 1741

Prime Factor Structure

Factorization String 2^5 × 3^2 × 19 × 1741

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 28,533,960

Proper Divisor Sum 19,007,208

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #9526729 ← → #9526753

1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 912 1,368 1,741 1,824 2,736 3,482 5,223 5,472 6,964 10,446 13,928 15,669 20,892 27,856 31,338 33,079 41,784 55,712 62,676 66,158 83,568 99,237 125,352 132,316 167,136 198,474 250,704 264,632 297,711

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

9,526,752 4,763,376 2,381,688 1,190,844 595,422 297,711 893,134 446,567 1,339,702 669,851 2,009,554 1,004,777 3,014,332 1,507,166 753,583 2,260,750 1,130,375 3,391,126 1,695,563 5,086,690 2,543,345 7,630,036 3,815,018 1,907,509 5,722,528 2,861,264 1,430,632 715,316 357,658 178,829 536,488 268,244 134,122 67,061 201,184 100,592 50,296 25,148 12,574 6,287 18,862 9,431 28,294 14,147 42,442 21,221 63,664 31,832 15,916 7,958 3,979 11,938 5,969 17,908 8,954 4,477 13,432 6,716 3,358 1,679

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