7 × 29 × 31 × 41

Prime Factor Structure

Factorization String 7 × 29 × 31 × 41

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 322,560

Proper Divisor Sum 64,547

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #257993 ← → #258019

1 7 29 31 41 203 217 287 899 1,189 1,271 6,293 8,323 8,897 36,859 258,013

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

258,013 774,040 387,020 193,510 96,755 290,266 145,133 435,400 217,700 108,850 54,425 163,276 81,638 40,819 122,458 61,229 183,688 91,844 45,922 22,961 68,884 34,442 17,221 51,664 25,832 12,916 6,458 3,229 9,688 4,844 2,422 1,211 3,634 1,817 5,452 2,726 1,363 4,090 2,045 6,136 3,068 1,534 767 2,302 1,151 3,454 1,727 5,182 2,591 7,774 3,887 11,662 5,831 17,494 8,747 26,242 13,121 39,364 19,682 9,841

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