2² × 5² × 29²

Prime Factor Structure

Factorization String 2^2 × 5^2 × 29^2

Distinct Prime Factors 3

Square Status Yes (√84100 = 290)

Abundance Measure Abundant

Analytical Properties

Total Divisors 27

Divisor Sum (σ) 189,007

Proper Divisor Sum 104,907

Digit Sum / Digital Root 13 (Root: 4)

Adjacent Primes #84089 ← → #84121

1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 841 1,450 1,682 2,900 3,364 4,205 8,410 16,820 21,025 42,050 84,100

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

84,100 42,050 21,025 63,076 31,538 15,769 47,308 23,654 11,827 35,482 17,741 53,224 26,612 13,306 6,653 19,960 9,980 4,990 2,495 7,486 3,743 11,230 5,615 16,846 8,423 25,270 12,635 37,906 18,953 56,860 28,430 14,215 42,646 21,323 63,970 31,985 95,956 47,978 23,989 71,968 35,984 17,992 8,996 4,498 2,249 6,748 3,374 1,687 5,062 2,531 7,594 3,797 11,392 5,696 2,848 1,424 712 356 178 89

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