λ
Ratio Atlas
Atlas › Integer Profiles › Node 223,440
223,440
24 × 3 × 5 × 72 × 19
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3 × 5 × 7^2 × 19
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 120
Divisor Sum (σ) 848,160
Proper Divisor Sum 624,720
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #223439 ← → #223441

Radix Representation

Decimal 223440
Binary 110110100011010000 (18 bits)
Octal 0o664320
Hexadecimal 0x368D0

Divisor Catalog (60 of 120)

1 2 3 4 5 6 7 8 10 12 14 15 16 19 20 21 24 28 30 35 38 40 42 48 49 56 57 60 70 76 80 84 95 98 105 112 114 120 133 140 147 152 168 190 196 210 228 240 245 266 280 285 294 304 336 380 392 399 420 456

Collatz Trajectory (155 steps to reach 1)

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

223,440 111,720 55,860 27,930 13,965 41,896 20,948 10,474 5,237 15,712 7,856 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 #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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