2 × 3² × 5 × 509

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 509

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 119,340

Proper Divisor Sum 73,530

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #45779 ← → #45817

1 2 3 5 6 9 10 15 18 30 45 90 509 1,018 1,527 2,545 3,054 4,581 5,090 7,635 9,162 15,270 22,905 45,810

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

45,810 22,905 68,716 34,358 17,179 51,538 25,769 77,308 38,654 19,327 57,982 28,991 86,974 43,487 130,462 65,231 195,694 97,847 293,542 146,771 440,314 220,157 660,472 330,236 165,118 82,559 247,678 123,839 371,518 185,759 557,278 278,639 835,918 417,959 1,253,878 626,939 1,880,818 940,409 2,821,228 1,410,614 705,307 2,115,922 1,057,961 3,173,884 1,586,942 793,471 2,380,414 1,190,207 3,570,622 1,785,311 5,355,934 2,677,967 8,033,902 4,016,951 12,050,854 6,025,427 18,076,282 9,038,141 27,114,424 13,557,212

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