3⁵ × 5 × 13 × 29

Prime Factor Structure

Factorization String 3^5 × 5 × 13 × 29

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 917,280

Proper Divisor Sum 459,225

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #458053 ← → #458057

1 3 5 9 13 15 27 29 39 45 65 81 87 117 135 145 195 243 261 351 377 405 435 585 783 1,053 1,131 1,215 1,305 1,755 1,885 2,349 3,159 3,393 3,915 5,265 5,655 7,047 10,179 11,745 15,795 16,965 30,537 35,235 50,895 91,611 152,685 458,055

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

458,055 1,374,166 687,083 2,061,250 1,030,625 3,091,876 1,545,938 772,969 2,318,908 1,159,454 579,727 1,739,182 869,591 2,608,774 1,304,387 3,913,162 1,956,581 5,869,744 2,934,872 1,467,436 733,718 366,859 1,100,578 550,289 1,650,868 825,434 412,717 1,238,152 619,076 309,538 154,769 464,308 232,154 116,077 348,232 174,116 87,058 43,529 130,588 65,294 32,647 97,942 48,971 146,914 73,457 220,372 110,186 55,093 165,280 82,640 41,320 20,660 10,330 5,165 15,496 7,748 3,874 1,937 5,812 2,906

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