2⁵ × 3² × 5 × 59

Prime Factor Structure

Factorization String 2^5 × 3^2 × 5 × 59

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 294,840

Proper Divisor Sum 209,880

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #84947 ← → #84961

Radix Representation

Decimal	84960
Binary	10100101111100000 (17 bits)
Octal	0o245740
Hexadecimal	0x14BE0

Divisor Catalog (60 of 72)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 59 60 72 80 90 96 118 120 144 160 177 180 236 240 288 295 354 360 472 480 531 590 708 720 885 944 1,062 1,180 1,416 1,440 1,770 1,888 2,124 2,360 2,655 2,832 3,540 4,248 4,720

Collatz Trajectory (58 steps to reach 1)

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

84,960 42,480 21,240 10,620 5,310 2,655 7,966 3,983 11,950 5,975 17,926 8,963 26,890 13,445 40,336 20,168 10,084 5,042 2,521 7,564 3,782 1,891 5,674 2,837 8,512 4,256 2,128 1,064 532 266 133 400 200 100 50 25 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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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