3 × 7 × 13 × 31² × 67

Prime Factor Structure

Factorization String 3 × 7 × 13 × 31^2 × 67

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 30,250,752

Proper Divisor Sum 12,673,101

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #17577629 ← → #17577653

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

17,577,651 52,732,954 26,366,477 79,099,432 39,549,716 19,774,858 9,887,429 29,662,288 14,831,144 7,415,572 3,707,786 1,853,893 5,561,680 2,780,840 1,390,420 695,210 347,605 1,042,816 521,408 260,704 130,352 65,176 32,588 16,294 8,147 24,442 12,221 36,664 18,332 9,166 4,583 13,750 6,875 20,626 10,313 30,940 15,470 7,735 23,206 11,603 34,810 17,405 52,216 26,108 13,054 6,527 19,582 9,791 29,374 14,687 44,062 22,031 66,094 33,047 99,142 49,571 148,714 74,357 223,072 111,536

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