λ
Ratio Atlas
Atlas › Integer Profiles › Node 57,765,820
57,765,820
22 × 5 × 7 × 47 × 8779
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 5 × 7 × 47 × 8779
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 141,603,840
Proper Divisor Sum 83,838,020
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #57765817 ← → #57765821

Radix Representation

Decimal 57765820
Binary 11011100010110111110111100 (26 bits)
Octal 0o334267674
Hexadecimal 0x3716FBC

Divisor Catalog (48)

1 2 4 5 7 10 14 20 28 35 47 70 94 140 188 235 329 470 658 940 1,316 1,645 3,290 6,580 8,779 17,558 35,116 43,895 61,453 87,790 122,906 175,580 245,812 307,265 412,613 614,530 825,226 1,229,060 1,650,452 2,063,065 2,888,291 4,126,130 5,776,582 8,252,260 11,553,164 14,441,455 28,882,910 57,765,820

Collatz Trajectory (93 steps to reach 1)

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

57,765,820 28,882,910 14,441,455 43,324,366 21,662,183 64,986,550 32,493,275 97,479,826 48,739,913 146,219,740 73,109,870 36,554,935 109,664,806 54,832,403 164,497,210 82,248,605 246,745,816 123,372,908 61,686,454 30,843,227 92,529,682 46,264,841 138,794,524 69,397,262 34,698,631 104,095,894 52,047,947 156,143,842 78,071,921 234,215,764 117,107,882 58,553,941 175,661,824 87,830,912 43,915,456 21,957,728 10,978,864 5,489,432 2,744,716 1,372,358 686,179 2,058,538 1,029,269 3,087,808 1,543,904 771,952 385,976 192,988 96,494 48,247 144,742 72,371 217,114 108,557 325,672 162,836 81,418 40,709 122,128 61,064

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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