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Ratio Atlas
Atlas › Integer Profiles › Node 105,696
105,696
25 × 32 × 367
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 3^2 × 367
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 301,392
Proper Divisor Sum 195,696
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #105691 ← → #105701

Radix Representation

Decimal 105696
Binary 11001110011100000 (17 bits)
Octal 0o316340
Hexadecimal 0x19CE0

Divisor Catalog (36)

1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 367 734 1,101 1,468 2,202 2,936 3,303 4,404 5,872 6,606 8,808 11,744 13,212 17,616 26,424 35,232 52,848 105,696

Collatz Trajectory (79 steps to reach 1)

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

105,696 52,848 26,424 13,212 6,606 3,303 9,910 4,955 14,866 7,433 22,300 11,150 5,575 16,726 8,363 25,090 12,545 37,636 18,818 9,409 28,228 14,114 7,057 21,172 10,586 5,293 15,880 7,940 3,970 1,985 5,956 2,978 1,489 4,468 2,234 1,117 3,352 1,676 838 419 1,258 629 1,888 944 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,411,996 Feeder #5,213,165 Feeder #8,297,652 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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