2² × 3 × 5³ × 11 × 47

Prime Factor Structure

Factorization String 2^2 × 3 × 5^3 × 11 × 47

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 2,515,968

Proper Divisor Sum 1,740,468

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #775477 ← → #775507

Radix Representation

Decimal	775500
Binary	10111101010101001100 (20 bits)
Octal	0o2752514
Hexadecimal	0xBD54C

Divisor Catalog (60 of 96)

1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 47 50 55 60 66 75 94 100 110 125 132 141 150 165 188 220 235 250 275 282 300 330 375 470 500 517 550 564 660 705 750 825 940 1,034 1,100 1,175 1,375 1,410 1,500 1,551 1,650 2,068 2,350 2,585

Collatz Trajectory (162 steps to reach 1)

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

775,500 387,750 193,875 581,626 290,813 872,440 436,220 218,110 109,055 327,166 163,583 490,750 245,375 736,126 368,063 1,104,190 552,095 1,656,286 828,143 2,484,430 1,242,215 3,726,646 1,863,323 5,589,970 2,794,985 8,384,956 4,192,478 2,096,239 6,288,718 3,144,359 9,433,078 4,716,539 14,149,618 7,074,809 21,224,428 10,612,214 5,306,107 15,918,322 7,959,161 23,877,484 11,938,742 5,969,371 17,908,114 8,954,057 26,862,172 13,431,086 6,715,543 20,146,630 10,073,315 30,219,946 15,109,973 45,329,920 22,664,960 11,332,480 5,666,240 2,833,120 1,416,560 708,280 354,140 177,070

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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