2³ × 5² × 7² × 89

Prime Factor Structure

Factorization String 2^3 × 5^2 × 7^2 × 89

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 2,385,450

Proper Divisor Sum 1,513,250

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #872189 ← → #872203

1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 89 98 100 140 175 178 196 200 245 280 350 356 392 445 490 623 700 712 890 980 1,225 1,246 1,400 1,780 1,960 2,225 2,450 2,492 3,115 3,560 4,361 4,450 4,900 4,984 6,230 8,722 8,900 9,800 12,460 15,575 17,444 17,800 21,805

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

872,200 436,100 218,050 109,025 327,076 163,538 81,769 245,308 122,654 61,327 183,982 91,991 275,974 137,987 413,962 206,981 620,944 310,472 155,236 77,618 38,809 116,428 58,214 29,107 87,322 43,661 130,984 65,492 32,746 16,373 49,120 24,560 12,280 6,140 3,070 1,535 4,606 2,303 6,910 3,455 10,366 5,183 15,550 7,775 23,326 11,663 34,990 17,495 52,486 26,243 78,730 39,365 118,096 59,048 29,524 14,762 7,381 22,144 11,072 5,536

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