2⁴ × 7 × 13 × 17 × 193

Prime Factor Structure

Factorization String 2^4 × 7 × 13 × 17 × 193

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 12,124,224

Proper Divisor Sum 7,347,088

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #4777103 ← → #4777139

1 2 4 7 8 13 14 16 17 26 28 34 52 56 68 91 104 112 119 136 182 193 208 221 238 272 364 386 442 476 728 772 884 952 1,351 1,456 1,544 1,547 1,768 1,904 2,509 2,702 3,088 3,094 3,281 3,536 5,018 5,404 6,188 6,562 10,036 10,808 12,376 13,124 17,563 20,072 21,616 22,967 24,752 26,248

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

4,777,136 2,388,568 1,194,284 597,142 298,571 895,714 447,857 1,343,572 671,786 335,893 1,007,680 503,840 251,920 125,960 62,980 31,490 15,745 47,236 23,618 11,809 35,428 17,714 8,857 26,572 13,286 6,643 19,930 9,965 29,896 14,948 7,474 3,737 11,212 5,606 2,803 8,410 4,205 12,616 6,308 3,154 1,577 4,732 2,366 1,183 3,550 1,775 5,326 2,663 7,990 3,995 11,986 5,993 17,980 8,990 4,495 13,486 6,743 20,230 10,115 30,346

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