3⁴ × 5 × 7 × 29

Prime Factor Structure

Factorization String 3^4 × 5 × 7 × 29

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 174,240

Proper Divisor Sum 92,025

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #82207 ← → #82217

1 3 5 7 9 15 21 27 29 35 45 63 81 87 105 135 145 189 203 261 315 405 435 567 609 783 945 1,015 1,305 1,827 2,349 2,835 3,045 3,915 5,481 9,135 11,745 16,443 27,405 82,215

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

82,215 246,646 123,323 369,970 184,985 554,956 277,478 138,739 416,218 208,109 624,328 312,164 156,082 78,041 234,124 117,062 58,531 175,594 87,797 263,392 131,696 65,848 32,924 16,462 8,231 24,694 12,347 37,042 18,521 55,564 27,782 13,891 41,674 20,837 62,512 31,256 15,628 7,814 3,907 11,722 5,861 17,584 8,792 4,396 2,198 1,099 3,298 1,649 4,948 2,474 1,237 3,712 1,856 928 464 232 116 58 29 88

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