λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,000,360
3,000,360
23 × 3 × 5 × 11 × 2273
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 11 × 2273
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 9,823,680
Proper Divisor Sum 6,823,320
Digit Sum / Digital Root 12 (Root: 3)
Adjacent Primes #3000359 ← → #3000377

Radix Representation

Decimal 3000360
Binary 1011011100100000101000 (22 bits)
Octal 0o13344050
Hexadecimal 0x2DC828

Divisor Catalog (60 of 64)

1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1,320 2,273 4,546 6,819 9,092 11,365 13,638 18,184 22,730 25,003 27,276 34,095 45,460 50,006 54,552 68,190 75,009 90,920 100,012 125,015 136,380 150,018 200,024 250,030 272,760 300,036 375,045 500,060 600,072

Collatz Trajectory (138 steps to reach 1)

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

3,000,360 1,500,180 750,090 375,045 1,125,136 562,568 281,284 140,642 70,321 210,964 105,482 52,741 158,224 79,112 39,556 19,778 9,889 29,668 14,834 7,417 22,252 11,126 5,563 16,690 8,345 25,036 12,518 6,259 18,778 9,389 28,168 14,084 7,042 3,521 10,564 5,282 2,641 7,924 3,962 1,981 5,944 2,972 1,486 743 2,230 1,115 3,346 1,673 5,020 2,510 1,255 3,766 1,883 5,650 2,825 8,476 4,238 2,119 6,358 3,179

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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