2⁴ × 3² × 5 × 19 × 43 × 83

Prime Factor Structure

Factorization String 2^4 × 3^2 × 5 × 19 × 43 × 83

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 240

Divisor Sum (σ) 178,738,560

Proper Divisor Sum 129,914,640

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #48823919 ← → #48823937

Radix Representation

Decimal	48823920
Binary	10111010001111111001110000 (26 bits)
Octal	0o272177160
Hexadecimal	0x2E8FE70

Divisor Catalog (60 of 240)

1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 36 38 40 43 45 48 57 60 72 76 80 83 86 90 95 114 120 129 144 152 166 171 172 180 190 215 228 240 249 258 285 304 332 342 344 360 380 387 415 430 456 498 516

Collatz Trajectory (137 steps to reach 1)

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

48,823,920 24,411,960 12,205,980 6,102,990 3,051,495 9,154,486 4,577,243 13,731,730 6,865,865 20,597,596 10,298,798 5,149,399 15,448,198 7,724,099 23,172,298 11,586,149 34,758,448 17,379,224 8,689,612 4,344,806 2,172,403 6,517,210 3,258,605 9,775,816 4,887,908 2,443,954 1,221,977 3,665,932 1,832,966 916,483 2,749,450 1,374,725 4,124,176 2,062,088 1,031,044 515,522 257,761 773,284 386,642 193,321 579,964 289,982 144,991 434,974 217,487 652,462 326,231 978,694 489,347 1,468,042 734,021 2,202,064 1,101,032 550,516 275,258 137,629 412,888 206,444 103,222 51,611

Active Feeder Network

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

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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