λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,000,402
3,000,402
2 × 34 × 18521
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^4 × 18521
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 6,723,486
Proper Divisor Sum 3,723,084
Digit Sum / Digital Root 9 (Root: 9)
Adjacent Primes #3000379 ← → #3000409

Radix Representation

Decimal 3000402
Binary 1011011100100001010010 (22 bits)
Octal 0o13344122
Hexadecimal 0x2DC852

Divisor Catalog (20)

1 2 3 6 9 18 27 54 81 162 18,521 37,042 55,563 111,126 166,689 333,378 500,067 1,000,134 1,500,201 3,000,402

Collatz Trajectory (226 steps to reach 1)

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

3,000,402 1,500,201 4,500,604 2,250,302 1,125,151 3,375,454 1,687,727 5,063,182 2,531,591 7,594,774 3,797,387 11,392,162 5,696,081 17,088,244 8,544,122 4,272,061 12,816,184 6,408,092 3,204,046 1,602,023 4,806,070 2,403,035 7,209,106 3,604,553 10,813,660 5,406,830 2,703,415 8,110,246 4,055,123 12,165,370 6,082,685 18,248,056 9,124,028 4,562,014 2,281,007 6,843,022 3,421,511 10,264,534 5,132,267 15,396,802 7,698,401 23,095,204 11,547,602 5,773,801 17,321,404 8,660,702 4,330,351 12,991,054 6,495,527 19,486,582 9,743,291 29,229,874 14,614,937 43,844,812 21,922,406 10,961,203 32,883,610 16,441,805 49,325,416 24,662,708

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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