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Ratio Atlas
Atlas › Integer Profiles › Node 832,032
832,032
25 × 35 × 107
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 3^5 × 107
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 2,476,656
Proper Divisor Sum 1,644,624
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #832003 ← → #832063

Radix Representation

Decimal 832032
Binary 11001011001000100000 (20 bits)
Octal 0o3131040
Hexadecimal 0xCB220

Divisor Catalog (60 of 72)

1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 107 108 144 162 214 216 243 288 321 324 428 432 486 642 648 856 864 963 972 1,284 1,296 1,712 1,926 1,944 2,568 2,592 2,889 3,424 3,852 3,888 5,136 5,778 7,704 7,776 8,667 10,272 11,556 15,408 17,334 23,112 26,001

Collatz Trajectory (131 steps to reach 1)

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

832,032 416,016 208,008 104,004 52,002 26,001 78,004 39,002 19,501 58,504 29,252 14,626 7,313 21,940 10,970 5,485 16,456 8,228 4,114 2,057 6,172 3,086 1,543 4,630 2,315 6,946 3,473 10,420 5,210 2,605 7,816 3,908 1,954 977 2,932 1,466 733 2,200 1,100 550 275 826 413 1,240 620 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890

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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