λ
Ratio Atlas
Atlas › Integer Profiles › Node 59,080,242
59,080,242
2 × 3 × 13 × 113 × 6703
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 13 × 113 × 6703
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 128,395,008
Proper Divisor Sum 69,314,766
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #59080223 ← → #59080243

Radix Representation

Decimal 59080242
Binary 11100001010111111000110010 (26 bits)
Octal 0o341277062
Hexadecimal 0x3857E32

Divisor Catalog (32)

1 2 3 6 13 26 39 78 113 226 339 678 1,469 2,938 4,407 6,703 8,814 13,406 20,109 40,218 87,139 174,278 261,417 522,834 757,439 1,514,878 2,272,317 4,544,634 9,846,707 19,693,414 29,540,121 59,080,242

Collatz Trajectory (238 steps to reach 1)

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

59,080,242 29,540,121 88,620,364 44,310,182 22,155,091 66,465,274 33,232,637 99,697,912 49,848,956 24,924,478 12,462,239 37,386,718 18,693,359 56,080,078 28,040,039 84,120,118 42,060,059 126,180,178 63,090,089 189,270,268 94,635,134 47,317,567 141,952,702 70,976,351 212,929,054 106,464,527 319,393,582 159,696,791 479,090,374 239,545,187 718,635,562 359,317,781 1,077,953,344 538,976,672 269,488,336 134,744,168 67,372,084 33,686,042 16,843,021 50,529,064 25,264,532 12,632,266 6,316,133 18,948,400 9,474,200 4,737,100 2,368,550 1,184,275 3,552,826 1,776,413 5,329,240 2,664,620 1,332,310 666,155 1,998,466 999,233 2,997,700 1,498,850 749,425 2,248,276

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #1,448,561 Feeder #6,970,568 Feeder #2,947,453 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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