2² × 3 × 7² × 11 × 13

Prime Factor Structure

Factorization String 2^2 × 3 × 7^2 × 11 × 13

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 268,128

Proper Divisor Sum 184,044

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #84067 ← → #84089

Radix Representation

Decimal	84084
Binary	10100100001110100 (17 bits)
Octal	0o244164
Hexadecimal	0x14874

Divisor Catalog (60 of 72)

1 2 3 4 6 7 11 12 13 14 21 22 26 28 33 39 42 44 49 52 66 77 78 84 91 98 132 143 147 154 156 182 196 231 273 286 294 308 364 429 462 539 546 572 588 637 858 924 1,001 1,078 1,092 1,274 1,617 1,716 1,911 2,002 2,156 2,548 3,003 3,234

Collatz Trajectory (89 steps to reach 1)

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

84,084 42,042 21,021 63,064 31,532 15,766 7,883 23,650 11,825 35,476 17,738 8,869 26,608 13,304 6,652 3,326 1,663 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

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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