2³ × 3⁵ × 29 × 823

Prime Factor Structure

Factorization String 2^3 × 3^5 × 29 × 823

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 134,971,200

Proper Divisor Sum 88,573,752

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #46397431 ← → #46397453

1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 81 87 108 116 162 174 216 232 243 261 324 348 486 522 648 696 783 823 972 1,044 1,566 1,646 1,944 2,088 2,349 2,469 3,132 3,292 4,698 4,938 6,264 6,584 7,047 7,407 9,396 9,876 14,094 14,814 18,792 19,752 22,221 23,867 28,188 29,628

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

46,397,448 23,198,724 11,599,362 5,799,681 17,399,044 8,699,522 4,349,761 13,049,284 6,524,642 3,262,321 9,786,964 4,893,482 2,446,741 7,340,224 3,670,112 1,835,056 917,528 458,764 229,382 114,691 344,074 172,037 516,112 258,056 129,028 64,514 32,257 96,772 48,386 24,193 72,580 36,290 18,145 54,436 27,218 13,609 40,828 20,414 10,207 30,622 15,311 45,934 22,967 68,902 34,451 103,354 51,677 155,032 77,516 38,758 19,379 58,138 29,069 87,208 43,604 21,802 10,901 32,704 16,352 8,176

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