λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,000,798
3,000,798
2 × 32 × 43 × 3877
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 43 × 3877
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 6,654,648
Proper Divisor Sum 3,653,850
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3000797 ← → #3000821

Radix Representation

Decimal 3000798
Binary 1011011100100111011110 (22 bits)
Octal 0o13344736
Hexadecimal 0x2DC9DE

Divisor Catalog (24)

1 2 3 6 9 18 43 86 129 258 387 774 3,877 7,754 11,631 23,262 34,893 69,786 166,711 333,422 500,133 1,000,266 1,500,399 3,000,798

Collatz Trajectory (213 steps to reach 1)

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

3,000,798 1,500,399 4,501,198 2,250,599 6,751,798 3,375,899 10,127,698 5,063,849 15,191,548 7,595,774 3,797,887 11,393,662 5,696,831 17,090,494 8,545,247 25,635,742 12,817,871 38,453,614 19,226,807 57,680,422 28,840,211 86,520,634 43,260,317 129,780,952 64,890,476 32,445,238 16,222,619 48,667,858 24,333,929 73,001,788 36,500,894 18,250,447 54,751,342 27,375,671 82,127,014 41,063,507 123,190,522 61,595,261 184,785,784 92,392,892 46,196,446 23,098,223 69,294,670 34,647,335 103,942,006 51,971,003 155,913,010 77,956,505 233,869,516 116,934,758 58,467,379 175,402,138 87,701,069 263,103,208 131,551,604 65,775,802 32,887,901 98,663,704 49,331,852 24,665,926

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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