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Ratio Atlas
Atlas › Integer Profiles › Node 112,968
112,968
23 × 33 × 523
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3^3 × 523
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 314,400
Proper Divisor Sum 201,432
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #112967 ← → #112979

Radix Representation

Decimal 112968
Binary 11011100101001000 (17 bits)
Octal 0o334510
Hexadecimal 0x1B948

Divisor Catalog (32)

1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 523 1,046 1,569 2,092 3,138 4,184 4,707 6,276 9,414 12,552 14,121 18,828 28,242 37,656 56,484 112,968

Collatz Trajectory (154 steps to reach 1)

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

112,968 56,484 28,242 14,121 42,364 21,182 10,591 31,774 15,887 47,662 23,831 71,494 35,747 107,242 53,621 160,864 80,432 40,216 20,108 10,054 5,027 15,082 7,541 22,624 11,312 5,656 2,828 1,414 707 2,122 1,061 3,184 1,592 796 398 199 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286 143 430 215 646 323 970 485 1,456 728

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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