λ
Ratio Atlas
Atlas › Integer Profiles › Node 224,010
224,010
2 × 32 × 5 × 19 × 131
Abundant Even Composite

Prime Factor Structure

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

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 617,760
Proper Divisor Sum 393,750
Digit Sum / Digital Root 9 (Root: 9)
Adjacent Primes #223999 ← → #224011

Radix Representation

Decimal 224010
Binary 110110101100001010 (18 bits)
Octal 0o665412
Hexadecimal 0x36B0A

Divisor Catalog (48)

1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 131 171 190 262 285 342 393 570 655 786 855 1,179 1,310 1,710 1,965 2,358 2,489 3,930 4,978 5,895 7,467 11,790 12,445 14,934 22,401 24,890 37,335 44,802 74,670 112,005 224,010

Collatz Trajectory (155 steps to reach 1)

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

224,010 112,005 336,016 168,008 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

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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