λ
Ratio Atlas
Atlas › Integer Profiles › Node 57,738,620
57,738,620
22 × 5 × 71 × 73 × 557
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 5 × 71 × 73 × 557
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 124,867,008
Proper Divisor Sum 67,128,388
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #57738617 ← → #57738641

Radix Representation

Decimal 57738620
Binary 11011100010000010101111100 (26 bits)
Octal 0o334202574
Hexadecimal 0x371057C

Divisor Catalog (48)

1 2 4 5 10 20 71 73 142 146 284 292 355 365 557 710 730 1,114 1,420 1,460 2,228 2,785 5,183 5,570 10,366 11,140 20,732 25,915 39,547 40,661 51,830 79,094 81,322 103,660 158,188 162,644 197,735 203,305 395,470 406,610 790,940 813,220 2,886,931 5,773,862 11,547,724 14,434,655 28,869,310 57,738,620

Collatz Trajectory (93 steps to reach 1)

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

57,738,620 28,869,310 14,434,655 43,303,966 21,651,983 64,955,950 32,477,975 97,433,926 48,716,963 146,150,890 73,075,445 219,226,336 109,613,168 54,806,584 27,403,292 13,701,646 6,850,823 20,552,470 10,276,235 30,828,706 15,414,353 46,243,060 23,121,530 11,560,765 34,682,296 17,341,148 8,670,574 4,335,287 13,005,862 6,502,931 19,508,794 9,754,397 29,263,192 14,631,596 7,315,798 3,657,899 10,973,698 5,486,849 16,460,548 8,230,274 4,115,137 12,345,412 6,172,706 3,086,353 9,259,060 4,629,530 2,314,765 6,944,296 3,472,148 1,736,074 868,037 2,604,112 1,302,056 651,028 325,514 162,757 488,272 244,136 122,068 61,034

Active Feeder Network

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

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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