3 × 5 × 53 × 523

Prime Factor Structure

Factorization String 3 × 5 × 53 × 523

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 679,104

Proper Divisor Sum 263,319

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #415783 ← → #415787

1 3 5 15 53 159 265 523 795 1,569 2,615 7,845 27,719 83,157 138,595 415,785

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

415,785 1,247,356 623,678 311,839 935,518 467,759 1,403,278 701,639 2,104,918 1,052,459 3,157,378 1,578,689 4,736,068 2,368,034 1,184,017 3,552,052 1,776,026 888,013 2,664,040 1,332,020 666,010 333,005 999,016 499,508 249,754 124,877 374,632 187,316 93,658 46,829 140,488 70,244 35,122 17,561 52,684 26,342 13,171 39,514 19,757 59,272 29,636 14,818 7,409 22,228 11,114 5,557 16,672 8,336 4,168 2,084 1,042 521 1,564 782 391 1,174 587 1,762 881 2,644

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