λ
Ratio Atlas
Atlas › Integer Profiles › Node 57,743,350
57,743,350
2 × 52 × 7 × 29 × 5689
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 5^2 × 7 × 29 × 5689
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 127,000,800
Proper Divisor Sum 69,257,450
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #57743291 ← → #57743351

Radix Representation

Decimal 57743350
Binary 11011100010001011111110110 (26 bits)
Octal 0o334213766
Hexadecimal 0x37117F6

Divisor Catalog (48)

1 2 5 7 10 14 25 29 35 50 58 70 145 175 203 290 350 406 725 1,015 1,450 2,030 5,075 5,689 10,150 11,378 28,445 39,823 56,890 79,646 142,225 164,981 199,115 284,450 329,962 398,230 824,905 995,575 1,154,867 1,649,810 1,991,150 2,309,734 4,124,525 5,774,335 8,249,050 11,548,670 28,871,675 57,743,350

Collatz Trajectory (150 steps to reach 1)

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

57,743,350 28,871,675 86,615,026 43,307,513 129,922,540 64,961,270 32,480,635 97,441,906 48,720,953 146,162,860 73,081,430 36,540,715 109,622,146 54,811,073 164,433,220 82,216,610 41,108,305 123,324,916 61,662,458 30,831,229 92,493,688 46,246,844 23,123,422 11,561,711 34,685,134 17,342,567 52,027,702 26,013,851 78,041,554 39,020,777 117,062,332 58,531,166 29,265,583 87,796,750 43,898,375 131,695,126 65,847,563 197,542,690 98,771,345 296,314,036 148,157,018 74,078,509 222,235,528 111,117,764 55,558,882 27,779,441 83,338,324 41,669,162 20,834,581 62,503,744 31,251,872 15,625,936 7,812,968 3,906,484 1,953,242 976,621 2,929,864 1,464,932 732,466 366,233

Active Feeder Network

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

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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