3³ × 7² × 17 × 19 × 41

Prime Factor Structure

Factorization String 3^3 × 7^2 × 17 × 19 × 41

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 34,473,600

Proper Divisor Sum 16,953,111

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #17520473 ← → #17520491

1 3 7 9 17 19 21 27 41 49 51 57 63 119 123 133 147 153 171 189 287 323 357 369 399 441 459 513 697 779 833 861 931 969 1,071 1,107 1,197 1,323 2,009 2,091 2,261 2,337 2,499 2,583 2,793 2,907 3,213 3,591 4,879 5,453 6,027 6,273 6,783 7,011 7,497 7,749 8,379 8,721 13,243 14,637

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

17,520,489 52,561,468 26,280,734 13,140,367 39,421,102 19,710,551 59,131,654 29,565,827 88,697,482 44,348,741 133,046,224 66,523,112 33,261,556 16,630,778 8,315,389 24,946,168 12,473,084 6,236,542 3,118,271 9,354,814 4,677,407 14,032,222 7,016,111 21,048,334 10,524,167 31,572,502 15,786,251 47,358,754 23,679,377 71,038,132 35,519,066 17,759,533 53,278,600 26,639,300 13,319,650 6,659,825 19,979,476 9,989,738 4,994,869 14,984,608 7,492,304 3,746,152 1,873,076 936,538 468,269 1,404,808 702,404 351,202 175,601 526,804 263,402 131,701 395,104 197,552 98,776 49,388 24,694 12,347 37,042 18,521

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