λ
Ratio Atlas
Atlas › Integer Profiles › Node 7,415,550
7,415,550
2 × 34 × 52 × 1831
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^4 × 5^2 × 1831
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 20,615,496
Proper Divisor Sum 13,199,946
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #7415543 ← → #7415557

Radix Representation

Decimal 7415550
Binary 11100010010011011111110 (23 bits)
Octal 0o34223376
Hexadecimal 0x7126FE

Divisor Catalog (60)

1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 135 150 162 225 270 405 450 675 810 1,350 1,831 2,025 3,662 4,050 5,493 9,155 10,986 16,479 18,310 27,465 32,958 45,775 49,437 54,930 82,395 91,550 98,874 137,325 148,311 164,790 247,185 274,650 296,622 411,975 494,370 741,555 823,950 1,235,925 1,483,110 2,471,850 3,707,775 7,415,550

Collatz Trajectory (341 steps to reach 1)

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

7,415,550 3,707,775 11,123,326 5,561,663 16,684,990 8,342,495 25,027,486 12,513,743 37,541,230 18,770,615 56,311,846 28,155,923 84,467,770 42,233,885 126,701,656 63,350,828 31,675,414 15,837,707 47,513,122 23,756,561 71,269,684 35,634,842 17,817,421 53,452,264 26,726,132 13,363,066 6,681,533 20,044,600 10,022,300 5,011,150 2,505,575 7,516,726 3,758,363 11,275,090 5,637,545 16,912,636 8,456,318 4,228,159 12,684,478 6,342,239 19,026,718 9,513,359 28,540,078 14,270,039 42,810,118 21,405,059 64,215,178 32,107,589 96,322,768 48,161,384 24,080,692 12,040,346 6,020,173 18,060,520 9,030,260 4,515,130 2,257,565 6,772,696 3,386,348 1,693,174

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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