2⁵ × 5³ × 7 × 349

Prime Factor Structure

Factorization String 2^5 × 5^3 × 7 × 349

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 27,518,400

Proper Divisor Sum 17,746,400

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #9771997 ← → #9772019

1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 125 140 160 175 200 224 250 280 349 350 400 500 560 698 700 800 875 1,000 1,120 1,396 1,400 1,745 1,750 2,000 2,443 2,792 2,800 3,490 3,500 4,000 4,886 5,584 5,600 6,980 7,000 8,725 9,772 11,168 12,215

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

9,772,000 4,886,000 2,443,000 1,221,500 610,750 305,375 916,126 458,063 1,374,190 687,095 2,061,286 1,030,643 3,091,930 1,545,965 4,637,896 2,318,948 1,159,474 579,737 1,739,212 869,606 434,803 1,304,410 652,205 1,956,616 978,308 489,154 244,577 733,732 366,866 183,433 550,300 275,150 137,575 412,726 206,363 619,090 309,545 928,636 464,318 232,159 696,478 348,239 1,044,718 522,359 1,567,078 783,539 2,350,618 1,175,309 3,525,928 1,762,964 881,482 440,741 1,322,224 661,112 330,556 165,278 82,639 247,918 123,959 371,878

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