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Ratio Atlas
Atlas › Integer Profiles › Node 34,632
34,632
23 × 32 × 13 × 37
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3^2 × 13 × 37
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 103,740
Proper Divisor Sum 69,108
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #34631 ← → #34649

Radix Representation

Decimal 34632
Binary 1000011101001000 (16 bits)
Octal 0o103510
Hexadecimal 0x8748

Divisor Catalog (48)

1 2 3 4 6 8 9 12 13 18 24 26 36 37 39 52 72 74 78 104 111 117 148 156 222 234 296 312 333 444 468 481 666 888 936 962 1,332 1,443 1,924 2,664 2,886 3,848 4,329 5,772 8,658 11,544 17,316 34,632

Collatz Trajectory (54 steps to reach 1)

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

34,632 17,316 8,658 4,329 12,988 6,494 3,247 9,742 4,871 14,614 7,307 21,922 10,961 32,884 16,442 8,221 24,664 12,332 6,166 3,083 9,250 4,625 13,876 6,938 3,469 10,408 5,204 2,602 1,301 3,904 1,952 976 488 244 122 61 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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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