2⁶ × 3² × 5 × 17

Prime Factor Structure

Factorization String 2^6 × 3^2 × 5 × 17

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 84

Divisor Sum (σ) 178,308

Proper Divisor Sum 129,348

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #48953 ← → #48973

Radix Representation

Decimal	48960
Binary	1011111101000000 (16 bits)
Octal	0o137500
Hexadecimal	0xBF40

Divisor Catalog (60 of 84)

1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 32 34 36 40 45 48 51 60 64 68 72 80 85 90 96 102 120 136 144 153 160 170 180 192 204 240 255 272 288 306 320 340 360 408 480 510 544 576 612 680 720 765 816

Collatz Trajectory (52 steps to reach 1)

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

48,960 24,480 12,240 6,120 3,060 1,530 765 2,296 1,148 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205 616 308 154 77 232 116 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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