3 × 5 × 7 × 11 × 397

Prime Factor Structure

Factorization String 3 × 5 × 7 × 11 × 397

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 916,992

Proper Divisor Sum 458,457

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #458533 ← → #458543

1 3 5 7 11 15 21 33 35 55 77 105 165 231 385 397 1,155 1,191 1,985 2,779 4,367 5,955 8,337 13,101 13,895 21,835 30,569 41,685 65,505 91,707 152,845 458,535

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

458,535 1,375,606 687,803 2,063,410 1,031,705 3,095,116 1,547,558 773,779 2,321,338 1,160,669 3,482,008 1,741,004 870,502 435,251 1,305,754 652,877 1,958,632 979,316 489,658 244,829 734,488 367,244 183,622 91,811 275,434 137,717 413,152 206,576 103,288 51,644 25,822 12,911 38,734 19,367 58,102 29,051 87,154 43,577 130,732 65,366 32,683 98,050 49,025 147,076 73,538 36,769 110,308 55,154 27,577 82,732 41,366 20,683 62,050 31,025 93,076 46,538 23,269 69,808 34,904 17,452

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