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Ratio Atlas
Atlas › Integer Profiles › Node 465,696
465,696
25 × 33 × 72 × 11
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 3^3 × 7^2 × 11
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 144
Divisor Sum (σ) 1,723,680
Proper Divisor Sum 1,257,984
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #465679 ← → #465701

Radix Representation

Decimal 465696
Binary 1110001101100100000 (19 bits)
Octal 0o1615440
Hexadecimal 0x71B20

Divisor Catalog (60 of 144)

1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 32 33 36 42 44 48 49 54 56 63 66 72 77 84 88 96 98 99 108 112 126 132 144 147 154 168 176 189 196 198 216 224 231 252 264 288 294 297 308 336 352 378

Collatz Trajectory (76 steps to reach 1)

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

465,696 232,848 116,424 58,212 29,106 14,553 43,660 21,830 10,915 32,746 16,373 49,120 24,560 12,280 6,140 3,070 1,535 4,606 2,303 6,910 3,455 10,366 5,183 15,550 7,775 23,326 11,663 34,990 17,495 52,486 26,243 78,730 39,365 118,096 59,048 29,524 14,762 7,381 22,144 11,072 5,536 2,768 1,384 692 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28 14

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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