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Ratio Atlas
Atlas › Integer Profiles › Node 145,200
145,200
24 × 3 × 52 × 112
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3 × 5^2 × 11^2
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 90
Divisor Sum (σ) 511,252
Proper Divisor Sum 366,052
Digit Sum / Digital Root 12 (Root: 3)
Adjacent Primes #145193 ← → #145207

Radix Representation

Decimal 145200
Binary 100011011100110000 (18 bits)
Octal 0o433460
Hexadecimal 0x23730

Divisor Catalog (60 of 90)

1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 121 132 150 165 176 200 220 240 242 264 275 300 330 363 400 440 484 528 550 600 605 660 726 825 880 968 1,100 1,200 1,210

Collatz Trajectory (69 steps to reach 1)

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

145,200 72,600 36,300 18,150 9,075 27,226 13,613 40,840 20,420 10,210 5,105 15,316 7,658 3,829 11,488 5,744 2,872 1,436 718 359 1,078 539 1,618 809 2,428 1,214 607 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184 92 46 23 70 35 106 53 160

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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