λ
Ratio Atlas
Atlas › Integer Profiles › Node 287,100
287,100
22 × 32 × 52 × 11 × 29
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5^2 × 11 × 29
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 108
Divisor Sum (σ) 1,015,560
Proper Divisor Sum 728,460
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #287099 ← → #287107

Radix Representation

Decimal 287100
Binary 1000110000101111100 (19 bits)
Octal 0o1060574
Hexadecimal 0x4617C

Divisor Catalog (60 of 108)

1 2 3 4 5 6 9 10 11 12 15 18 20 22 25 29 30 33 36 44 45 50 55 58 60 66 75 87 90 99 100 110 116 132 145 150 165 174 180 198 220 225 261 275 290 300 319 330 348 396 435 450 495 522 550 580 638 660 725 825

Collatz Trajectory (57 steps to reach 1)

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

287,100 143,550 71,775 215,326 107,663 322,990 161,495 484,486 242,243 726,730 363,365 1,090,096 545,048 272,524 136,262 68,131 204,394 102,197 306,592 153,296 76,648 38,324 19,162 9,581 28,744 14,372 7,186 3,593 10,780 5,390 2,695 8,086 4,043 12,130 6,065 18,196 9,098 4,549 13,648 6,824 3,412 1,706 853 2,560 1,280 640 320 160 80 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 #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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