λ
Ratio Atlas
Atlas › Integer Profiles › Node 112,200
112,200
23 × 3 × 52 × 11 × 17
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3 × 5^2 × 11 × 17
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 401,760
Proper Divisor Sum 289,560
Digit Sum / Digital Root 6 (Root: 6)
Adjacent Primes #112199 ← → #112207

Radix Representation

Decimal 112200
Binary 11011011001001000 (17 bits)
Octal 0o333110
Hexadecimal 0x1B648

Divisor Catalog (60 of 96)

1 2 3 4 5 6 8 10 11 12 15 17 20 22 24 25 30 33 34 40 44 50 51 55 60 66 68 75 85 88 100 102 110 120 132 136 150 165 170 187 200 204 220 255 264 275 300 330 340 374 408 425 440 510 550 561 600 660 680 748

Collatz Trajectory (110 steps to reach 1)

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

112,200 56,100 28,050 14,025 42,076 21,038 10,519 31,558 15,779 47,338 23,669 71,008 35,504 17,752 8,876 4,438 2,219 6,658 3,329 9,988 4,994 2,497 7,492 3,746 1,873 5,620 2,810 1,405 4,216 2,108 1,054 527 1,582 791 2,374 1,187 3,562 1,781 5,344 2,672 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958 479 1,438 719

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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