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Ratio Atlas
Atlas › Integer Profiles › Node 112,005
112,005
32 × 5 × 19 × 131
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 5 × 19 × 131
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 205,920
Proper Divisor Sum 93,915
Digit Sum / Digital Root 9 (Root: 9)
Adjacent Primes #111997 ← → #112019

Radix Representation

Decimal 112005
Binary 11011010110000101 (17 bits)
Octal 0o332605
Hexadecimal 0x1B585

Divisor Catalog (24)

1 3 5 9 15 19 45 57 95 131 171 285 393 655 855 1,179 1,965 2,489 5,895 7,467 12,445 22,401 37,335 112,005

Collatz Trajectory (154 steps to reach 1)

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

112,005 336,016 168,008 84,004 42,002 21,001 63,004 31,502 15,751 47,254 23,627 70,882 35,441 106,324 53,162 26,581 79,744 39,872 19,936 9,968 4,984 2,492 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 71 214 107 322 161 484 242 121

Active Feeder Network

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

Feeder #1,448,561 Feeder #6,970,568 Feeder #2,947,453 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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