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Ratio Atlas
Atlas › Integer Profiles › Node 110,880
110,880
25 × 32 × 5 × 7 × 11
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 3^2 × 5 × 7 × 11
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 144
Divisor Sum (σ) 471,744
Proper Divisor Sum 360,864
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #110879 ← → #110881

Radix Representation

Decimal 110880
Binary 11011000100100000 (17 bits)
Octal 0o330440
Hexadecimal 0x1B120

Divisor Catalog (60 of 144)

1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 20 21 22 24 28 30 32 33 35 36 40 42 44 45 48 55 56 60 63 66 70 72 77 80 84 88 90 96 99 105 110 112 120 126 132 140 144 154 160 165 168 176 180 198

Collatz Trajectory (154 steps to reach 1)

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

110,880 55,440 27,720 13,860 6,930 3,465 10,396 5,198 2,599 7,798 3,899 11,698 5,849 17,548 8,774 4,387 13,162 6,581 19,744 9,872 4,936 2,468 1,234 617 1,852 926 463 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 71 214 107 322 161 484 242 121

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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