λ
Ratio Atlas
Atlas › Integer Profiles › Node 210,384
210,384
24 × 33 × 487
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3^3 × 487
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 605,120
Proper Divisor Sum 394,736
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #210361 ← → #210391

Radix Representation

Decimal 210384
Binary 110011010111010000 (18 bits)
Octal 0o632720
Hexadecimal 0x335D0

Divisor Catalog (40)

1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 487 974 1,461 1,948 2,922 3,896 4,383 5,844 7,792 8,766 11,688 13,149 17,532 23,376 26,298 35,064 52,596 70,128 105,192 210,384

Collatz Trajectory (80 steps to reach 1)

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

210,384 105,192 52,596 26,298 13,149 39,448 19,724 9,862 4,931 14,794 7,397 22,192 11,096 5,548 2,774 1,387 4,162 2,081 6,244 3,122 1,561 4,684 2,342 1,171 3,514 1,757 5,272 2,636 1,318 659 1,978 989 2,968 1,484 742 371 1,114 557 1,672 836 418 209 628 314 157 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38

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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