λ
Ratio Atlas
Atlas › Integer Profiles › Node 78,028,028
78,028,028
22 × 13 × 17 × 61 × 1447
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 13 × 17 × 61 × 1447
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 158,364,864
Proper Divisor Sum 80,336,836
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #78028019 ← → #78028033

Radix Representation

Decimal 78028028
Binary 100101001101001110011111100 (27 bits)
Octal 0o451516374
Hexadecimal 0x4A69CFC

Divisor Catalog (48)

1 2 4 13 17 26 34 52 61 68 122 221 244 442 793 884 1,037 1,447 1,586 2,074 2,894 3,172 4,148 5,788 13,481 18,811 24,599 26,962 37,622 49,198 53,924 75,244 88,267 98,396 176,534 319,787 353,068 639,574 1,147,471 1,279,148 1,500,539 2,294,942 3,001,078 4,589,884 6,002,156 19,507,007 39,014,014 78,028,028

Collatz Trajectory (272 steps to reach 1)

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

78,028,028 39,014,014 19,507,007 58,521,022 29,260,511 87,781,534 43,890,767 131,672,302 65,836,151 197,508,454 98,754,227 296,262,682 148,131,341 444,394,024 222,197,012 111,098,506 55,549,253 166,647,760 83,323,880 41,661,940 20,830,970 10,415,485 31,246,456 15,623,228 7,811,614 3,905,807 11,717,422 5,858,711 17,576,134 8,788,067 26,364,202 13,182,101 39,546,304 19,773,152 9,886,576 4,943,288 2,471,644 1,235,822 617,911 1,853,734 926,867 2,780,602 1,390,301 4,170,904 2,085,452 1,042,726 521,363 1,564,090 782,045 2,346,136 1,173,068 586,534 293,267 879,802 439,901 1,319,704 659,852 329,926 164,963 494,890

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,411,996 Feeder #5,213,165 Feeder #8,297,652 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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