2⁴ × 3 × 5 × 11 × 59 × 313

Prime Factor Structure

Factorization String 2^4 × 3 × 5 × 11 × 59 × 313

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 160

Divisor Sum (σ) 168,203,520

Proper Divisor Sum 119,450,640

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #48752867 ← → #48752881

Radix Representation

Decimal	48752880
Binary	10111001111110100011110000 (26 bits)
Octal	0o271764360
Hexadecimal	0x2E7E8F0

Divisor Catalog (60 of 160)

1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 59 60 66 80 88 110 118 120 132 165 176 177 220 236 240 264 295 313 330 354 440 472 528 590 626 649 660 708 880 885 939 944 1,180 1,252 1,298 1,320 1,416 1,565 1,770

Collatz Trajectory (93 steps to reach 1)

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

48,752,880 24,376,440 12,188,220 6,094,110 3,047,055 9,141,166 4,570,583 13,711,750 6,855,875 20,567,626 10,283,813 30,851,440 15,425,720 7,712,860 3,856,430 1,928,215 5,784,646 2,892,323 8,676,970 4,338,485 13,015,456 6,507,728 3,253,864 1,626,932 813,466 406,733 1,220,200 610,100 305,050 152,525 457,576 228,788 114,394 57,197 171,592 85,796 42,898 21,449 64,348 32,174 16,087 48,262 24,131 72,394 36,197 108,592 54,296 27,148 13,574 6,787 20,362 10,181 30,544 15,272 7,636 3,818 1,909 5,728 2,864 1,432

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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