2³ × 3³ × 19 × 97

Prime Factor Structure

Factorization String 2^3 × 3^3 × 19 × 97

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 1,176,000

Proper Divisor Sum 777,912

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #398087 ← → #398113

1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 97 108 114 152 171 194 216 228 291 342 388 456 513 582 684 776 873 1,026 1,164 1,368 1,746 1,843 2,052 2,328 2,619 3,492 3,686 4,104 5,238 5,529 6,984 7,372 10,476 11,058 14,744 16,587 20,952 22,116 33,174 44,232 49,761 66,348

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

398,088 199,044 99,522 49,761 149,284 74,642 37,321 111,964 55,982 27,991 83,974 41,987 125,962 62,981 188,944 94,472 47,236 23,618 11,809 35,428 17,714 8,857 26,572 13,286 6,643 19,930 9,965 29,896 14,948 7,474 3,737 11,212 5,606 2,803 8,410 4,205 12,616 6,308 3,154 1,577 4,732 2,366 1,183 3,550 1,775 5,326 2,663 7,990 3,995 11,986 5,993 17,980 8,990 4,495 13,486 6,743 20,230 10,115 30,346 15,173

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