2³ × 3² × 23 × 47

Prime Factor Structure

Factorization String 2^3 × 3^2 × 23 × 47

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 224,640

Proper Divisor Sum 146,808

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #77813 ← → #77839

1 2 3 4 6 8 9 12 18 23 24 36 46 47 69 72 92 94 138 141 184 188 207 276 282 376 414 423 552 564 828 846 1,081 1,128 1,656 1,692 2,162 3,243 3,384 4,324 6,486 8,648 9,729 12,972 19,458 25,944 38,916 77,832

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

77,832 38,916 19,458 9,729 29,188 14,594 7,297 21,892 10,946 5,473 16,420 8,210 4,105 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.