3⁴ × 5 × 7 × 31

Prime Factor Structure

Factorization String 3^4 × 5 × 7 × 31

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 185,856

Proper Divisor Sum 97,971

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #87881 ← → #87887

1 3 5 7 9 15 21 27 31 35 45 63 81 93 105 135 155 189 217 279 315 405 465 567 651 837 945 1,085 1,395 1,953 2,511 2,835 3,255 4,185 5,859 9,765 12,555 17,577 29,295 87,885

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

87,885 263,656 131,828 65,914 32,957 98,872 49,436 24,718 12,359 37,078 18,539 55,618 27,809 83,428 41,714 20,857 62,572 31,286 15,643 46,930 23,465 70,396 35,198 17,599 52,798 26,399 79,198 39,599 118,798 59,399 178,198 89,099 267,298 133,649 400,948 200,474 100,237 300,712 150,356 75,178 37,589 112,768 56,384 28,192 14,096 7,048 3,524 1,762 881 2,644 1,322 661 1,984 992 496 248 124 62 31 94

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