2 × 3² × 5 × 7² × 11

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 7^2 × 11

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 160,056

Proper Divisor Sum 111,546

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #48497 ← → #48523

Radix Representation

Decimal	48510
Binary	1011110101111110 (16 bits)
Octal	0o136576
Hexadecimal	0xBD7E

Divisor Catalog (60 of 72)

1 2 3 5 6 7 9 10 11 14 15 18 21 22 30 33 35 42 45 49 55 63 66 70 77 90 98 99 105 110 126 147 154 165 198 210 231 245 294 315 330 385 441 462 490 495 539 630 693 735 770 882 990 1,078 1,155 1,386 1,470 1,617 2,205 2,310

Collatz Trajectory (83 steps to reach 1)

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

48,510 24,255 72,766 36,383 109,150 54,575 163,726 81,863 245,590 122,795 368,386 184,193 552,580 276,290 138,145 414,436 207,218 103,609 310,828 155,414 77,707 233,122 116,561 349,684 174,842 87,421 262,264 131,132 65,566 32,783 98,350 49,175 147,526 73,763 221,290 110,645 331,936 165,968 82,984 41,492 20,746 10,373 31,120 15,560 7,780 3,890 1,945 5,836 2,918 1,459 4,378 2,189 6,568 3,284 1,642 821 2,464 1,232 616 308

Active Feeder Network

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

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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