2³ × 3² × 5 × 13 × 19 × 197

Prime Factor Structure

Factorization String 2^3 × 3^2 × 5 × 13 × 19 × 197

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 192

Divisor Sum (σ) 64,864,800

Proper Divisor Sum 47,347,560

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #17517239 ← → #17517257

Radix Representation

Decimal	17517240
Binary	1000010110100101010111000 (25 bits)
Octal	0o102645270
Hexadecimal	0x10B4AB8

Divisor Catalog (60 of 192)

1 2 3 4 5 6 8 9 10 12 13 15 18 19 20 24 26 30 36 38 39 40 45 52 57 60 65 72 76 78 90 95 104 114 117 120 130 152 156 171 180 190 195 197 228 234 247 260 285 312 342 360 380 390 394 456 468 494 520 570

Collatz Trajectory (89 steps to reach 1)

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

17,517,240 8,758,620 4,379,310 2,189,655 6,568,966 3,284,483 9,853,450 4,926,725 14,780,176 7,390,088 3,695,044 1,847,522 923,761 2,771,284 1,385,642 692,821 2,078,464 1,039,232 519,616 259,808 129,904 64,952 32,476 16,238 8,119 24,358 12,179 36,538 18,269 54,808 27,404 13,702 6,851 20,554 10,277 30,832 15,416 7,708 3,854 1,927 5,782 2,891 8,674 4,337 13,012 6,506 3,253 9,760 4,880 2,440 1,220 610 305 916 458 229 688 344 172 86

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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