2⁷ × 3 × 5⁴ × 73

Prime Factor Structure

Factorization String 2^7 × 3 × 5^4 × 73

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 160

Divisor Sum (σ) 58,949,880

Proper Divisor Sum 41,429,880

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #17519989 ← → #17520001

Radix Representation

Decimal	17520000
Binary	1000010110101010110000000 (25 bits)
Octal	0o102652600
Hexadecimal	0x10B5580

Divisor Catalog (60 of 160)

1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 73 75 80 96 100 120 125 128 146 150 160 192 200 219 240 250 292 300 320 365 375 384 400 438 480 500 584 600 625 640 730 750 800 876 960 1,000 1,095 1,168 1,200

Collatz Trajectory (89 steps to reach 1)

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

17,520,000 8,760,000 4,380,000 2,190,000 1,095,000 547,500 273,750 136,875 410,626 205,313 615,940 307,970 153,985 461,956 230,978 115,489 346,468 173,234 86,617 259,852 129,926 64,963 194,890 97,445 292,336 146,168 73,084 36,542 18,271 54,814 27,407 82,222 41,111 123,334 61,667 185,002 92,501 277,504 138,752 69,376 34,688 17,344 8,672 4,336 2,168 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86

Active Feeder Network

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

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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