λ
Ratio Atlas
Atlas › Integer Profiles › Node 67,390,388
67,390,388
22 × 13 × 41 × 73 × 433
Deficient Even Composite

Prime Factor Structure

Factorization String 2^2 × 13 × 41 × 73 × 433
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 132,189,456
Proper Divisor Sum 64,799,068
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #67390387 ← → #67390399

Radix Representation

Decimal 67390388
Binary 100000001000100101110110100 (27 bits)
Octal 0o401045664
Hexadecimal 0x4044BB4

Divisor Catalog (48)

1 2 4 13 26 41 52 73 82 146 164 292 433 533 866 949 1,066 1,732 1,898 2,132 2,993 3,796 5,629 5,986 11,258 11,972 17,753 22,516 31,609 35,506 38,909 63,218 71,012 77,818 126,436 155,636 230,789 410,917 461,578 821,834 923,156 1,295,969 1,643,668 2,591,938 5,183,876 16,847,597 33,695,194 67,390,388

Collatz Trajectory (140 steps to reach 1)

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

67,390,388 33,695,194 16,847,597 50,542,792 25,271,396 12,635,698 6,317,849 18,953,548 9,476,774 4,738,387 14,215,162 7,107,581 21,322,744 10,661,372 5,330,686 2,665,343 7,996,030 3,998,015 11,994,046 5,997,023 17,991,070 8,995,535 26,986,606 13,493,303 40,479,910 20,239,955 60,719,866 30,359,933 91,079,800 45,539,900 22,769,950 11,384,975 34,154,926 17,077,463 51,232,390 25,616,195 76,848,586 38,424,293 115,272,880 57,636,440 28,818,220 14,409,110 7,204,555 21,613,666 10,806,833 32,420,500 16,210,250 8,105,125 24,315,376 12,157,688 6,078,844 3,039,422 1,519,711 4,559,134 2,279,567 6,838,702 3,419,351 10,258,054 5,129,027 15,387,082

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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