2³ × 3 × 5² × 17² × 101

Prime Factor Structure

Factorization String 2^3 × 3 × 5^2 × 17^2 × 101

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 58,244,040

Proper Divisor Sum 40,730,640

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #17513381 ← → #17513401

Radix Representation

Decimal	17513400
Binary	1000010110011101110111000 (25 bits)
Octal	0o102635670
Hexadecimal	0x10B3BB8

Divisor Catalog (60 of 144)

1 2 3 4 5 6 8 10 12 15 17 20 24 25 30 34 40 50 51 60 68 75 85 100 101 102 120 136 150 170 200 202 204 255 289 300 303 340 404 408 425 505 510 578 600 606 680 808 850 867 1,010 1,020 1,156 1,212 1,275 1,445 1,515 1,700 1,717 1,734

Collatz Trajectory (169 steps to reach 1)

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

17,513,400 8,756,700 4,378,350 2,189,175 6,567,526 3,283,763 9,851,290 4,925,645 14,776,936 7,388,468 3,694,234 1,847,117 5,541,352 2,770,676 1,385,338 692,669 2,078,008 1,039,004 519,502 259,751 779,254 389,627 1,168,882 584,441 1,753,324 876,662 438,331 1,314,994 657,497 1,972,492 986,246 493,123 1,479,370 739,685 2,219,056 1,109,528 554,764 277,382 138,691 416,074 208,037 624,112 312,056 156,028 78,014 39,007 117,022 58,511 175,534 87,767 263,302 131,651 394,954 197,477 592,432 296,216 148,108 74,054 37,027 111,082

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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