λ
Ratio Atlas
Atlas › Integer Profiles › Node 57,742,575
57,742,575
3 × 52 × 11 × 69991
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5^2 × 11 × 69991
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 104,148,096
Proper Divisor Sum 46,405,521
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #57742571 ← → #57742621

Radix Representation

Decimal 57742575
Binary 11011100010001010011101111 (26 bits)
Octal 0o334212357
Hexadecimal 0x37114EF

Divisor Catalog (24)

1 3 5 11 15 25 33 55 75 165 275 825 69,991 209,973 349,955 769,901 1,049,865 1,749,775 2,309,703 3,849,505 5,249,325 11,548,515 19,247,525 57,742,575

Collatz Trajectory (238 steps to reach 1)

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

57,742,575 173,227,726 86,613,863 259,841,590 129,920,795 389,762,386 194,881,193 584,643,580 292,321,790 146,160,895 438,482,686 219,241,343 657,724,030 328,862,015 986,586,046 493,293,023 1,479,879,070 739,939,535 2,219,818,606 1,109,909,303 3,329,727,910 1,664,863,955 4,994,591,866 2,497,295,933 7,491,887,800 3,745,943,900 1,872,971,950 936,485,975 2,809,457,926 1,404,728,963 4,214,186,890 2,107,093,445 6,321,280,336 3,160,640,168 1,580,320,084 790,160,042 395,080,021 1,185,240,064 592,620,032 296,310,016 148,155,008 74,077,504 37,038,752 18,519,376 9,259,688 4,629,844 2,314,922 1,157,461 3,472,384 1,736,192 868,096 434,048 217,024 108,512 54,256 27,128 13,564 6,782 3,391 10,174

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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