λ
Ratio Atlas
Atlas › Integer Profiles › Node 7,906,008
7,906,008
23 × 3 × 11 × 29947
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3 × 11 × 29947
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 21,562,560
Proper Divisor Sum 13,656,552
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #7906001 ← → #7906013

Radix Representation

Decimal 7906008
Binary 11110001010001011011000 (23 bits)
Octal 0o36121330
Hexadecimal 0x78A2D8

Divisor Catalog (32)

1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 29,947 59,894 89,841 119,788 179,682 239,576 329,417 359,364 658,834 718,728 988,251 1,317,668 1,976,502 2,635,336 3,953,004 7,906,008

Collatz Trajectory (292 steps to reach 1)

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

7,906,008 3,953,004 1,976,502 988,251 2,964,754 1,482,377 4,447,132 2,223,566 1,111,783 3,335,350 1,667,675 5,003,026 2,501,513 7,504,540 3,752,270 1,876,135 5,628,406 2,814,203 8,442,610 4,221,305 12,663,916 6,331,958 3,165,979 9,497,938 4,748,969 14,246,908 7,123,454 3,561,727 10,685,182 5,342,591 16,027,774 8,013,887 24,041,662 12,020,831 36,062,494 18,031,247 54,093,742 27,046,871 81,140,614 40,570,307 121,710,922 60,855,461 182,566,384 91,283,192 45,641,596 22,820,798 11,410,399 34,231,198 17,115,599 51,346,798 25,673,399 77,020,198 38,510,099 115,530,298 57,765,149 173,295,448 86,647,724 43,323,862 21,661,931 64,985,794

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 #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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