3³ × 5 × 7² × 113

Prime Factor Structure

Factorization String 3^3 × 5 × 7^2 × 113

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 1,559,520

Proper Divisor Sum 812,025

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #747493 ← → #747497

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

747,495 2,242,486 1,121,243 3,363,730 1,681,865 5,045,596 2,522,798 1,261,399 3,784,198 1,892,099 5,676,298 2,838,149 8,514,448 4,257,224 2,128,612 1,064,306 532,153 1,596,460 798,230 399,115 1,197,346 598,673 1,796,020 898,010 449,005 1,347,016 673,508 336,754 168,377 505,132 252,566 126,283 378,850 189,425 568,276 284,138 142,069 426,208 213,104 106,552 53,276 26,638 13,319 39,958 19,979 59,938 29,969 89,908 44,954 22,477 67,432 33,716 16,858 8,429 25,288 12,644 6,322 3,161 9,484 4,742

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