2⁵ × 3² × 5 × 23³

Prime Factor Structure

Factorization String 2^5 × 3^2 × 5 × 23^3

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 62,506,080

Proper Divisor Sum 44,985,600

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #17520473 ← → #17520491

Radix Representation

Decimal	17520480
Binary	1000010110101011101100000 (25 bits)
Octal	0o102653540
Hexadecimal	0x10B5760

Divisor Catalog (60 of 144)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 30 32 36 40 45 46 48 60 69 72 80 90 92 96 115 120 138 144 160 180 184 207 230 240 276 288 345 360 368 414 460 480 529 552 690 720 736 828 920 1,035 1,058 1,104 1,380 1,440

Collatz Trajectory (200 steps to reach 1)

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

17,520,480 8,760,240 4,380,120 2,190,060 1,095,030 547,515 1,642,546 821,273 2,463,820 1,231,910 615,955 1,847,866 923,933 2,771,800 1,385,900 692,950 346,475 1,039,426 519,713 1,559,140 779,570 389,785 1,169,356 584,678 292,339 877,018 438,509 1,315,528 657,764 328,882 164,441 493,324 246,662 123,331 369,994 184,997 554,992 277,496 138,748 69,374 34,687 104,062 52,031 156,094 78,047 234,142 117,071 351,214 175,607 526,822 263,411 790,234 395,117 1,185,352 592,676 296,338 148,169 444,508 222,254 111,127

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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