2⁴ × 5⁴ × 11 × 71

Prime Factor Structure

Factorization String 2^4 × 5^4 × 11 × 71

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 100

Divisor Sum (σ) 20,918,304

Proper Divisor Sum 13,108,304

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #7809983 ← → #7810001

1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 71 80 88 100 110 125 142 176 200 220 250 275 284 355 400 440 500 550 568 625 710 781 880 1,000 1,100 1,136 1,250 1,375 1,420 1,562 1,775 2,000 2,200 2,500 2,750 2,840 3,124 3,550 3,905 4,400 5,000 5,500 5,680 6,248 6,875

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

7,810,000 3,905,000 1,952,500 976,250 488,125 1,464,376 732,188 366,094 183,047 549,142 274,571 823,714 411,857 1,235,572 617,786 308,893 926,680 463,340 231,670 115,835 347,506 173,753 521,260 260,630 130,315 390,946 195,473 586,420 293,210 146,605 439,816 219,908 109,954 54,977 164,932 82,466 41,233 123,700 61,850 30,925 92,776 46,388 23,194 11,597 34,792 17,396 8,698 4,349 13,048 6,524 3,262 1,631 4,894 2,447 7,342 3,671 11,014 5,507 16,522 8,261

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