λ
Ratio Atlas
Atlas › Integer Profiles › Node 57,799,112
57,799,112
23 × 7 × 71 × 14537
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 7 × 71 × 14537
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 125,608,320
Proper Divisor Sum 67,809,208
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #57799111 ← → #57799129

Radix Representation

Decimal 57799112
Binary 11011100011111000111001000 (26 bits)
Octal 0o334370710
Hexadecimal 0x371F1C8

Divisor Catalog (32)

1 2 4 7 8 14 28 56 71 142 284 497 568 994 1,988 3,976 14,537 29,074 58,148 101,759 116,296 203,518 407,036 814,072 1,032,127 2,064,254 4,128,508 7,224,889 8,257,016 14,449,778 28,899,556 57,799,112

Collatz Trajectory (238 steps to reach 1)

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

57,799,112 28,899,556 14,449,778 7,224,889 21,674,668 10,837,334 5,418,667 16,256,002 8,128,001 24,384,004 12,192,002 6,096,001 18,288,004 9,144,002 4,572,001 13,716,004 6,858,002 3,429,001 10,287,004 5,143,502 2,571,751 7,715,254 3,857,627 11,572,882 5,786,441 17,359,324 8,679,662 4,339,831 13,019,494 6,509,747 19,529,242 9,764,621 29,293,864 14,646,932 7,323,466 3,661,733 10,985,200 5,492,600 2,746,300 1,373,150 686,575 2,059,726 1,029,863 3,089,590 1,544,795 4,634,386 2,317,193 6,951,580 3,475,790 1,737,895 5,213,686 2,606,843 7,820,530 3,910,265 11,730,796 5,865,398 2,932,699 8,798,098 4,399,049 13,197,148

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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