λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,033,342
3,033,342
2 × 33 × 13 × 29 × 149
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^3 × 13 × 29 × 149
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 7,560,000
Proper Divisor Sum 4,526,658
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #3033341 ← → #3033353

Radix Representation

Decimal 3033342
Binary 1011100100100011111110 (22 bits)
Octal 0o13444376
Hexadecimal 0x2E48FE

Divisor Catalog (60 of 64)

1 2 3 6 9 13 18 26 27 29 39 54 58 78 87 117 149 174 234 261 298 351 377 447 522 702 754 783 894 1,131 1,341 1,566 1,937 2,262 2,682 3,393 3,874 4,023 4,321 5,811 6,786 8,046 8,642 10,179 11,622 12,963 17,433 20,358 25,926 34,866 38,889 52,299 56,173 77,778 104,598 112,346 116,667 168,519 233,334 337,038

Collatz Trajectory (288 steps to reach 1)

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

3,033,342 1,516,671 4,550,014 2,275,007 6,825,022 3,412,511 10,237,534 5,118,767 15,356,302 7,678,151 23,034,454 11,517,227 34,551,682 17,275,841 51,827,524 25,913,762 12,956,881 38,870,644 19,435,322 9,717,661 29,152,984 14,576,492 7,288,246 3,644,123 10,932,370 5,466,185 16,398,556 8,199,278 4,099,639 12,298,918 6,149,459 18,448,378 9,224,189 27,672,568 13,836,284 6,918,142 3,459,071 10,377,214 5,188,607 15,565,822 7,782,911 23,348,734 11,674,367 35,023,102 17,511,551 52,534,654 26,267,327 78,801,982 39,400,991 118,202,974 59,101,487 177,304,462 88,652,231 265,956,694 132,978,347 398,935,042 199,467,521 598,402,564 299,201,282 149,600,641

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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