λ
Ratio Atlas
Atlas › Integer Profiles › Node 57,760,840
57,760,840
23 × 5 × 1061 × 1361
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 5 × 1061 × 1361
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 130,179,960
Proper Divisor Sum 72,419,120
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #57760819 ← → #57760853

Radix Representation

Decimal 57760840
Binary 11011100010101110001001000 (26 bits)
Octal 0o334256110
Hexadecimal 0x3715C48

Divisor Catalog (32)

1 2 4 5 8 10 20 40 1,061 1,361 2,122 2,722 4,244 5,305 5,444 6,805 8,488 10,610 10,888 13,610 21,220 27,220 42,440 54,440 1,444,021 2,888,042 5,776,084 7,220,105 11,552,168 14,440,210 28,880,420 57,760,840

Collatz Trajectory (313 steps to reach 1)

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

57,760,840 28,880,420 14,440,210 7,220,105 21,660,316 10,830,158 5,415,079 16,245,238 8,122,619 24,367,858 12,183,929 36,551,788 18,275,894 9,137,947 27,413,842 13,706,921 41,120,764 20,560,382 10,280,191 30,840,574 15,420,287 46,260,862 23,130,431 69,391,294 34,695,647 104,086,942 52,043,471 156,130,414 78,065,207 234,195,622 117,097,811 351,293,434 175,646,717 526,940,152 263,470,076 131,735,038 65,867,519 197,602,558 98,801,279 296,403,838 148,201,919 444,605,758 222,302,879 666,908,638 333,454,319 1,000,362,958 500,181,479 1,500,544,438 750,272,219 2,250,816,658 1,125,408,329 3,376,224,988 1,688,112,494 844,056,247 2,532,168,742 1,266,084,371 3,798,253,114 1,899,126,557 5,697,379,672 2,848,689,836

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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