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Ratio Atlas
Atlas › Integer Profiles › Node 22,968
22,968
23 × 32 × 11 × 29
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3^2 × 11 × 29
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 70,200
Proper Divisor Sum 47,232
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #22963 ← → #22973

Radix Representation

Decimal 22968
Binary 101100110111000 (15 bits)
Octal 0o54670
Hexadecimal 0x59B8

Divisor Catalog (48)

1 2 3 4 6 8 9 11 12 18 22 24 29 33 36 44 58 66 72 87 88 99 116 132 174 198 232 261 264 319 348 396 522 638 696 792 957 1,044 1,276 1,914 2,088 2,552 2,871 3,828 5,742 7,656 11,484 22,968

Collatz Trajectory (82 steps to reach 1)

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

22,968 11,484 5,742 2,871 8,614 4,307 12,922 6,461 19,384 9,692 4,846 2,423 7,270 3,635 10,906 5,453 16,360 8,180 4,090 2,045 6,136 3,068 1,534 767 2,302 1,151 3,454 1,727 5,182 2,591 7,774 3,887 11,662 5,831 17,494 8,747 26,242 13,121 39,364 19,682 9,841 29,524 14,762 7,381 22,144 11,072 5,536 2,768 1,384 692 346 173 520 260 130 65 196 98 49 148

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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