λ
Ratio Atlas
Atlas › Integer Profiles › Node 42,663,115
42,663,115
5 × 11 × 17 × 103 × 443
Deficient Odd Composite

Prime Factor Structure

Factorization String 5 × 11 × 17 × 103 × 443
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 59,844,096
Proper Divisor Sum 17,180,981
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #42663067 ← → #42663133

Radix Representation

Decimal 42663115
Binary 10100010101111110011001011 (26 bits)
Octal 0o242576313
Hexadecimal 0x28AFCCB

Divisor Catalog (32)

1 5 11 17 55 85 103 187 443 515 935 1,133 1,751 2,215 4,873 5,665 7,531 8,755 19,261 24,365 37,655 45,629 82,841 96,305 228,145 414,205 501,919 775,693 2,509,595 3,878,465 8,532,623 42,663,115

Collatz Trajectory (235 steps to reach 1)

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

42,663,115 127,989,346 63,994,673 191,984,020 95,992,010 47,996,005 143,988,016 71,994,008 35,997,004 17,998,502 8,999,251 26,997,754 13,498,877 40,496,632 20,248,316 10,124,158 5,062,079 15,186,238 7,593,119 22,779,358 11,389,679 34,169,038 17,084,519 51,253,558 25,626,779 76,880,338 38,440,169 115,320,508 57,660,254 28,830,127 86,490,382 43,245,191 129,735,574 64,867,787 194,603,362 97,301,681 291,905,044 145,952,522 72,976,261 218,928,784 109,464,392 54,732,196 27,366,098 13,683,049 41,049,148 20,524,574 10,262,287 30,786,862 15,393,431 46,180,294 23,090,147 69,270,442 34,635,221 103,905,664 51,952,832 25,976,416 12,988,208 6,494,104 3,247,052 1,623,526

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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