λ
Ratio Atlas
Atlas › Integer Profiles › Node 224,112
224,112
24 × 3 × 7 × 23 × 29
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3 × 7 × 23 × 29
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 714,240
Proper Divisor Sum 490,128
Digit Sum / Digital Root 12 (Root: 3)
Adjacent Primes #224101 ← → #224113

Radix Representation

Decimal 224112
Binary 110110101101110000 (18 bits)
Octal 0o665560
Hexadecimal 0x36B70

Divisor Catalog (60 of 80)

1 2 3 4 6 7 8 12 14 16 21 23 24 28 29 42 46 48 56 58 69 84 87 92 112 116 138 161 168 174 184 203 232 276 322 336 348 368 406 464 483 552 609 644 667 696 812 966 1,104 1,218 1,288 1,334 1,392 1,624 1,932 2,001 2,436 2,576 2,668 3,248

Collatz Trajectory (155 steps to reach 1)

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

224,112 112,056 56,028 28,014 14,007 42,022 21,011 63,034 31,517 94,552 47,276 23,638 11,819 35,458 17,729 53,188 26,594 13,297 39,892 19,946 9,973 29,920 14,960 7,480 3,740 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 #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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