2² × 3² × 11 × 13 × 17

Prime Factor Structure

Factorization String 2^2 × 3^2 × 11 × 13 × 17

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 275,184

Proper Divisor Sum 187,668

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #87511 ← → #87517

Radix Representation

Decimal	87516
Binary	10101010111011100 (17 bits)
Octal	0o252734
Hexadecimal	0x155DC

Divisor Catalog (60 of 72)

1 2 3 4 6 9 11 12 13 17 18 22 26 33 34 36 39 44 51 52 66 68 78 99 102 117 132 143 153 156 187 198 204 221 234 286 306 374 396 429 442 468 561 572 612 663 748 858 884 1,122 1,287 1,326 1,683 1,716 1,989 2,244 2,431 2,574 2,652 3,366

Collatz Trajectory (102 steps to reach 1)

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

87,516 43,758 21,879 65,638 32,819 98,458 49,229 147,688 73,844 36,922 18,461 55,384 27,692 13,846 6,923 20,770 10,385 31,156 15,578 7,789 23,368 11,684 5,842 2,921 8,764 4,382 2,191 6,574 3,287 9,862 4,931 14,794 7,397 22,192 11,096 5,548 2,774 1,387 4,162 2,081 6,244 3,122 1,561 4,684 2,342 1,171 3,514 1,757 5,272 2,636 1,318 659 1,978 989 2,968 1,484 742 371 1,114 557

Active Feeder Network

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

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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