λ
Ratio Atlas
Atlas › Integer Profiles › Node 42,845,596
42,845,596
22 × 23 × 31 × 83 × 181
Deficient Even Composite

Prime Factor Structure

Factorization String 2^2 × 23 × 31 × 83 × 181
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 82,188,288
Proper Divisor Sum 39,342,692
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #42845581 ← → #42845597

Radix Representation

Decimal 42845596
Binary 10100011011100010110011100 (26 bits)
Octal 0o243342634
Hexadecimal 0x28DC59C

Divisor Catalog (48)

1 2 4 23 31 46 62 83 92 124 166 181 332 362 713 724 1,426 1,909 2,573 2,852 3,818 4,163 5,146 5,611 7,636 8,326 10,292 11,222 15,023 16,652 22,444 30,046 59,179 60,092 118,358 129,053 236,716 258,106 345,529 465,713 516,212 691,058 931,426 1,382,116 1,862,852 10,711,399 21,422,798 42,845,596

Collatz Trajectory (173 steps to reach 1)

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

42,845,596 21,422,798 10,711,399 32,134,198 16,067,099 48,201,298 24,100,649 72,301,948 36,150,974 18,075,487 54,226,462 27,113,231 81,339,694 40,669,847 122,009,542 61,004,771 183,014,314 91,507,157 274,521,472 137,260,736 68,630,368 34,315,184 17,157,592 8,578,796 4,289,398 2,144,699 6,434,098 3,217,049 9,651,148 4,825,574 2,412,787 7,238,362 3,619,181 10,857,544 5,428,772 2,714,386 1,357,193 4,071,580 2,035,790 1,017,895 3,053,686 1,526,843 4,580,530 2,290,265 6,870,796 3,435,398 1,717,699 5,153,098 2,576,549 7,729,648 3,864,824 1,932,412 966,206 483,103 1,449,310 724,655 2,173,966 1,086,983 3,260,950 1,630,475

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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