3 × 5 × 13 × 17 × 31

Prime Factor Structure

Factorization String 3 × 5 × 13 × 17 × 31

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 193,536

Proper Divisor Sum 90,771

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #102763 ← → #102769

1 3 5 13 15 17 31 39 51 65 85 93 155 195 221 255 403 465 527 663 1,105 1,209 1,581 2,015 2,635 3,315 6,045 6,851 7,905 20,553 34,255 102,765

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

102,765 308,296 154,148 77,074 38,537 115,612 57,806 28,903 86,710 43,355 130,066 65,033 195,100 97,550 48,775 146,326 73,163 219,490 109,745 329,236 164,618 82,309 246,928 123,464 61,732 30,866 15,433 46,300 23,150 11,575 34,726 17,363 52,090 26,045 78,136 39,068 19,534 9,767 29,302 14,651 43,954 21,977 65,932 32,966 16,483 49,450 24,725 74,176 37,088 18,544 9,272 4,636 2,318 1,159 3,478 1,739 5,218 2,609 7,828 3,914

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