3 × 7 × 11 × 337

Prime Factor Structure

Factorization String 3 × 7 × 11 × 337

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 129,792

Proper Divisor Sum 51,945

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #77839 ← → #77849

1 3 7 11 21 33 77 231 337 1,011 2,359 3,707 7,077 11,121 25,949 77,847

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

77,847 233,542 116,771 350,314 175,157 525,472 262,736 131,368 65,684 32,842 16,421 49,264 24,632 12,316 6,158 3,079 9,238 4,619 13,858 6,929 20,788 10,394 5,197 15,592 7,796 3,898 1,949 5,848 2,924 1,462 731 2,194 1,097 3,292 1,646 823 2,470 1,235 3,706 1,853 5,560 2,780 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496

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