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Ratio Atlas
Atlas › Integer Profiles › Node 7,205,040
7,205,040
24 × 32 × 5 × 10007
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3^2 × 5 × 10007
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 24,199,344
Proper Divisor Sum 16,994,304
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #7205039 ← → #7205041

Radix Representation

Decimal 7205040
Binary 11011011111000010110000 (23 bits)
Octal 0o33370260
Hexadecimal 0x6DF0B0

Divisor Catalog (60)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 10,007 20,014 30,021 40,028 50,035 60,042 80,056 90,063 100,070 120,084 150,105 160,112 180,126 200,140 240,168 300,210 360,252 400,280 450,315 480,336 600,420 720,504 800,560 900,630 1,200,840 1,441,008 1,801,260 2,401,680 3,602,520 7,205,040

Collatz Trajectory (142 steps to reach 1)

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

7,205,040 3,602,520 1,801,260 900,630 450,315 1,350,946 675,473 2,026,420 1,013,210 506,605 1,519,816 759,908 379,954 189,977 569,932 284,966 142,483 427,450 213,725 641,176 320,588 160,294 80,147 240,442 120,221 360,664 180,332 90,166 45,083 135,250 67,625 202,876 101,438 50,719 152,158 76,079 228,238 114,119 342,358 171,179 513,538 256,769 770,308 385,154 192,577 577,732 288,866 144,433 433,300 216,650 108,325 324,976 162,488 81,244 40,622 20,311 60,934 30,467 91,402 45,701

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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