2³ × 5² × 7² × 79

Prime Factor Structure

Factorization String 2^3 × 5^2 × 7^2 × 79

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 2,120,400

Proper Divisor Sum 1,346,200

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #774199 ← → #774217

1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 79 98 100 140 158 175 196 200 245 280 316 350 392 395 490 553 632 700 790 980 1,106 1,225 1,400 1,580 1,960 1,975 2,212 2,450 2,765 3,160 3,871 3,950 4,424 4,900 5,530 7,742 7,900 9,800 11,060 13,825 15,484 15,800 19,355

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

774,200 387,100 193,550 96,775 290,326 145,163 435,490 217,745 653,236 326,618 163,309 489,928 244,964 122,482 61,241 183,724 91,862 45,931 137,794 68,897 206,692 103,346 51,673 155,020 77,510 38,755 116,266 58,133 174,400 87,200 43,600 21,800 10,900 5,450 2,725 8,176 4,088 2,044 1,022 511 1,534 767 2,302 1,151 3,454 1,727 5,182 2,591 7,774 3,887 11,662 5,831 17,494 8,747 26,242 13,121 39,364 19,682 9,841 29,524

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