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Ratio Atlas
Atlas › Integer Profiles › Node 186,111
186,111
33 × 61 × 113
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^3 × 61 × 113
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 282,720
Proper Divisor Sum 96,609
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #186107 ← → #186113

Radix Representation

Decimal 186111
Binary 101101011011111111 (18 bits)
Octal 0o553377
Hexadecimal 0x2D6FF

Divisor Catalog (16)

1 3 9 27 61 113 183 339 549 1,017 1,647 3,051 6,893 20,679 62,037 186,111

Collatz Trajectory (284 steps to reach 1)

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

186,111 558,334 279,167 837,502 418,751 1,256,254 628,127 1,884,382 942,191 2,826,574 1,413,287 4,239,862 2,119,931 6,359,794 3,179,897 9,539,692 4,769,846 2,384,923 7,154,770 3,577,385 10,732,156 5,366,078 2,683,039 8,049,118 4,024,559 12,073,678 6,036,839 18,110,518 9,055,259 27,165,778 13,582,889 40,748,668 20,374,334 10,187,167 30,561,502 15,280,751 45,842,254 22,921,127 68,763,382 34,381,691 103,145,074 51,572,537 154,717,612 77,358,806 38,679,403 116,038,210 58,019,105 174,057,316 87,028,658 43,514,329 130,542,988 65,271,494 32,635,747 97,907,242 48,953,621 146,860,864 73,430,432 36,715,216 18,357,608 9,178,804

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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