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Ratio Atlas
Atlas › Integer Profiles › Node 37,224
37,224
23 × 32 × 11 × 47
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3^2 × 11 × 47
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 112,320
Proper Divisor Sum 75,096
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #37223 ← → #37243

Radix Representation

Decimal 37224
Binary 1001000101101000 (16 bits)
Octal 0o110550
Hexadecimal 0x9168

Divisor Catalog (48)

1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 47 66 72 88 94 99 132 141 188 198 264 282 376 396 423 517 564 792 846 1,034 1,128 1,551 1,692 2,068 3,102 3,384 4,136 4,653 6,204 9,306 12,408 18,612 37,224

Collatz Trajectory (155 steps to reach 1)

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

37,224 18,612 9,306 4,653 13,960 6,980 3,490 1,745 5,236 2,618 1,309 3,928 1,964 982 491 1,474 737 2,212 1,106 553 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738 2,369 7,108 3,554 1,777 5,332 2,666 1,333 4,000 2,000 1,000 500 250 125 376 188 94 47 142 71 214 107 322 161 484 242

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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