λ
Ratio Atlas
Atlas › Integer Profiles › Node 41,999,690
41,999,690
2 × 5 × 17 × 19 × 13003
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 5 × 17 × 19 × 13003
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 84,265,920
Proper Divisor Sum 42,266,230
Digit Sum / Digital Root 47 (Root: 2)
Adjacent Primes #41999689 ← → #41999693

Radix Representation

Decimal 41999690
Binary 10100000001101110101001010 (26 bits)
Octal 0o240156512
Hexadecimal 0x280DD4A

Divisor Catalog (32)

1 2 5 10 17 19 34 38 85 95 170 190 323 646 1,615 3,230 13,003 26,006 65,015 130,030 221,051 247,057 442,102 494,114 1,105,255 1,235,285 2,210,510 2,470,570 4,199,969 8,399,938 20,999,845 41,999,690

Collatz Trajectory (253 steps to reach 1)

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

41,999,690 20,999,845 62,999,536 31,499,768 15,749,884 7,874,942 3,937,471 11,812,414 5,906,207 17,718,622 8,859,311 26,577,934 13,288,967 39,866,902 19,933,451 59,800,354 29,900,177 89,700,532 44,850,266 22,425,133 67,275,400 33,637,700 16,818,850 8,409,425 25,228,276 12,614,138 6,307,069 18,921,208 9,460,604 4,730,302 2,365,151 7,095,454 3,547,727 10,643,182 5,321,591 15,964,774 7,982,387 23,947,162 11,973,581 35,920,744 17,960,372 8,980,186 4,490,093 13,470,280 6,735,140 3,367,570 1,683,785 5,051,356 2,525,678 1,262,839 3,788,518 1,894,259 5,682,778 2,841,389 8,524,168 4,262,084 2,131,042 1,065,521 3,196,564 1,598,282

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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