λ
Ratio Atlas
Atlas › Integer Profiles › Node 57,738,944
57,738,944
26 × 372 × 659
Abundant Even Composite

Prime Factor Structure

Factorization String 2^6 × 37^2 × 659
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 42
Divisor Sum (σ) 117,934,740
Proper Divisor Sum 60,195,796
Digit Sum / Digital Root 47 (Root: 2)
Adjacent Primes #57738943 ← → #57738977

Radix Representation

Decimal 57738944
Binary 11011100010000011011000000 (26 bits)
Octal 0o334203300
Hexadecimal 0x37106C0

Divisor Catalog (42)

1 2 4 8 16 32 37 64 74 148 296 592 659 1,184 1,318 1,369 2,368 2,636 2,738 5,272 5,476 10,544 10,952 21,088 21,904 24,383 42,176 43,808 48,766 87,616 97,532 195,064 390,128 780,256 902,171 1,560,512 1,804,342 3,608,684 7,217,368 14,434,736 28,869,472 57,738,944

Collatz Trajectory (251 steps to reach 1)

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

57,738,944 28,869,472 14,434,736 7,217,368 3,608,684 1,804,342 902,171 2,706,514 1,353,257 4,059,772 2,029,886 1,014,943 3,044,830 1,522,415 4,567,246 2,283,623 6,850,870 3,425,435 10,276,306 5,138,153 15,414,460 7,707,230 3,853,615 11,560,846 5,780,423 17,341,270 8,670,635 26,011,906 13,005,953 39,017,860 19,508,930 9,754,465 29,263,396 14,631,698 7,315,849 21,947,548 10,973,774 5,486,887 16,460,662 8,230,331 24,690,994 12,345,497 37,036,492 18,518,246 9,259,123 27,777,370 13,888,685 41,666,056 20,833,028 10,416,514 5,208,257 15,624,772 7,812,386 3,906,193 11,718,580 5,859,290 2,929,645 8,788,936 4,394,468 2,197,234

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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