2³ × 7² × 101 × 103

Prime Factor Structure

Factorization String 2^3 × 7^2 × 101 × 103

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 9,069,840

Proper Divisor Sum 4,991,864

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #4077971 ← → #4078003

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

4,077,976 2,038,988 1,019,494 509,747 1,529,242 764,621 2,293,864 1,146,932 573,466 286,733 860,200 430,100 215,050 107,525 322,576 161,288 80,644 40,322 20,161 60,484 30,242 15,121 45,364 22,682 11,341 34,024 17,012 8,506 4,253 12,760 6,380 3,190 1,595 4,786 2,393 7,180 3,590 1,795 5,386 2,693 8,080 4,040 2,020 1,010 505 1,516 758 379 1,138 569 1,708 854 427 1,282 641 1,924 962 481 1,444 722

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