λ
Ratio Atlas
Atlas › Integer Profiles › Node 233,100
233,100
22 × 32 × 52 × 7 × 37
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5^2 × 7 × 37
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 108
Divisor Sum (σ) 857,584
Proper Divisor Sum 624,484
Digit Sum / Digital Root 9 (Root: 9)
Adjacent Primes #233083 ← → #233113

Radix Representation

Decimal 233100
Binary 111000111010001100 (18 bits)
Octal 0o707214
Hexadecimal 0x38E8C

Divisor Catalog (60 of 108)

1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 28 30 35 36 37 42 45 50 60 63 70 74 75 84 90 100 105 111 126 140 148 150 175 180 185 210 222 225 252 259 300 315 333 350 370 420 444 450 518 525 555 630 666 700

Collatz Trajectory (124 steps to reach 1)

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

233,100 116,550 58,275 174,826 87,413 262,240 131,120 65,560 32,780 16,390 8,195 24,586 12,293 36,880 18,440 9,220 4,610 2,305 6,916 3,458 1,729 5,188 2,594 1,297 3,892 1,946 973 2,920 1,460 730 365 1,096 548 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251

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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