λ
Ratio Atlas
Atlas › Integer Profiles › Node 67,390,386
67,390,386
2 × 3 × 72 × 47 × 4877
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 7^2 × 47 × 4877
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 160,154,496
Proper Divisor Sum 92,764,110
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #67390381 ← → #67390387

Radix Representation

Decimal 67390386
Binary 100000001000100101110110010 (27 bits)
Octal 0o401045662
Hexadecimal 0x4044BB2

Divisor Catalog (48)

1 2 3 6 7 14 21 42 47 49 94 98 141 147 282 294 329 658 987 1,974 2,303 4,606 4,877 6,909 9,754 13,818 14,631 29,262 34,139 68,278 102,417 204,834 229,219 238,973 458,438 477,946 687,657 716,919 1,375,314 1,433,838 1,604,533 3,209,066 4,813,599 9,627,198 11,231,731 22,463,462 33,695,193 67,390,386

Collatz Trajectory (140 steps to reach 1)

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

67,390,386 33,695,193 101,085,580 50,542,790 25,271,395 75,814,186 37,907,093 113,721,280 56,860,640 28,430,320 14,215,160 7,107,580 3,553,790 1,776,895 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 #3,913,373 Feeder #8,365,252 Feeder #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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