λ
Ratio Atlas
Atlas › Integer Profiles › Node 112,840
112,840
23 × 5 × 7 × 13 × 31
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 5 × 7 × 13 × 31
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 322,560
Proper Divisor Sum 209,720
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #112831 ← → #112843

Radix Representation

Decimal 112840
Binary 11011100011001000 (17 bits)
Octal 0o334310
Hexadecimal 0x1B8C8

Divisor Catalog (60 of 64)

1 2 4 5 7 8 10 13 14 20 26 28 31 35 40 52 56 62 65 70 91 104 124 130 140 155 182 217 248 260 280 310 364 403 434 455 520 620 728 806 868 910 1,085 1,240 1,612 1,736 1,820 2,015 2,170 2,821 3,224 3,640 4,030 4,340 5,642 8,060 8,680 11,284 14,105 16,120

Collatz Trajectory (61 steps to reach 1)

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

112,840 56,420 28,210 14,105 42,316 21,158 10,579 31,738 15,869 47,608 23,804 11,902 5,951 17,854 8,927 26,782 13,391 40,174 20,087 60,262 30,131 90,394 45,197 135,592 67,796 33,898 16,949 50,848 25,424 12,712 6,356 3,178 1,589 4,768 2,384 1,192 596 298 149 448 224 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4

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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