3⁴ × 5 × 7² × 23

Prime Factor Structure

Factorization String 3^4 × 5 × 7^2 × 23

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 60

Divisor Sum (σ) 993,168

Proper Divisor Sum 536,733

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #456427 ← → #456439

1 3 5 7 9 15 21 23 27 35 45 49 63 69 81 105 115 135 147 161 189 207 245 315 345 405 441 483 567 621 735 805 945 1,035 1,127 1,323 1,449 1,863 2,205 2,415 2,835 3,105 3,381 3,969 4,347 5,635 6,615 7,245 9,315 10,143 13,041 16,905 19,845 21,735 30,429 50,715 65,205 91,287 152,145 456,435

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

456,435 1,369,306 684,653 2,053,960 1,026,980 513,490 256,745 770,236 385,118 192,559 577,678 288,839 866,518 433,259 1,299,778 649,889 1,949,668 974,834 487,417 1,462,252 731,126 365,563 1,096,690 548,345 1,645,036 822,518 411,259 1,233,778 616,889 1,850,668 925,334 462,667 1,388,002 694,001 2,082,004 1,041,002 520,501 1,561,504 780,752 390,376 195,188 97,594 48,797 146,392 73,196 36,598 18,299 54,898 27,449 82,348 41,174 20,587 61,762 30,881 92,644 46,322 23,161 69,484 34,742 17,371

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