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Ratio Atlas
Atlas › Integer Profiles › Node 65,688
65,688
23 × 3 × 7 × 17 × 23
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3 × 7 × 17 × 23
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 207,360
Proper Divisor Sum 141,672
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #65687 ← → #65699

Radix Representation

Decimal 65688
Binary 10000000010011000 (17 bits)
Octal 0o200230
Hexadecimal 0x10098

Divisor Catalog (60 of 64)

1 2 3 4 6 7 8 12 14 17 21 23 24 28 34 42 46 51 56 68 69 84 92 102 119 136 138 161 168 184 204 238 276 322 357 391 408 476 483 552 644 714 782 952 966 1,173 1,288 1,428 1,564 1,932 2,346 2,737 2,856 3,128 3,864 4,692 5,474 8,211 9,384 10,948

Collatz Trajectory (161 steps to reach 1)

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

65,688 32,844 16,422 8,211 24,634 12,317 36,952 18,476 9,238 4,619 13,858 6,929 20,788 10,394 5,197 15,592 7,796 3,898 1,949 5,848 2,924 1,462 731 2,194 1,097 3,292 1,646 823 2,470 1,235 3,706 1,853 5,560 2,780 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496 248 124 62 31 94 47 142 71

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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