2⁵ × 3³ × 5 × 113

Prime Factor Structure

Factorization String 2^5 × 3^3 × 5 × 113

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 1,723,680

Proper Divisor Sum 1,235,520

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #488153 ← → #488161

Radix Representation

Decimal	488160
Binary	1110111001011100000 (19 bits)
Octal	0o1671340
Hexadecimal	0x772E0

Divisor Catalog (60 of 96)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 113 120 135 144 160 180 216 226 240 270 288 339 360 432 452 480 540 565 678 720 864 904 1,017 1,080 1,130 1,356 1,440 1,695 1,808 2,034 2,160

Collatz Trajectory (89 steps to reach 1)

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

488,160 244,080 122,040 61,020 30,510 15,255 45,766 22,883 68,650 34,325 102,976 51,488 25,744 12,872 6,436 3,218 1,609 4,828 2,414 1,207 3,622 1,811 5,434 2,717 8,152 4,076 2,038 1,019 3,058 1,529 4,588 2,294 1,147 3,442 1,721 5,164 2,582 1,291 3,874 1,937 5,812 2,906 1,453 4,360 2,180 1,090 545 1,636 818 409 1,228 614 307 922 461 1,384 692 346 173 520

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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