λ
Ratio Atlas
Atlas › Integer Profiles › Node 42,321,906
42,321,906
2 × 33 × 11 × 71249
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^3 × 11 × 71249
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 102,600,000
Proper Divisor Sum 60,278,094
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #42321871 ← → #42321907

Radix Representation

Decimal 42321906
Binary 10100001011100011111110010 (26 bits)
Octal 0o241343762
Hexadecimal 0x285C7F2

Divisor Catalog (32)

1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 71,249 142,498 213,747 427,494 641,241 783,739 1,282,482 1,567,478 1,923,723 2,351,217 3,847,446 4,702,434 7,053,651 14,107,302 21,160,953 42,321,906

Collatz Trajectory (173 steps to reach 1)

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

42,321,906 21,160,953 63,482,860 31,741,430 15,870,715 47,612,146 23,806,073 71,418,220 35,709,110 17,854,555 53,563,666 26,781,833 80,345,500 40,172,750 20,086,375 60,259,126 30,129,563 90,388,690 45,194,345 135,583,036 67,791,518 33,895,759 101,687,278 50,843,639 152,530,918 76,265,459 228,796,378 114,398,189 343,194,568 171,597,284 85,798,642 42,899,321 128,697,964 64,348,982 32,174,491 96,523,474 48,261,737 144,785,212 72,392,606 36,196,303 108,588,910 54,294,455 162,883,366 81,441,683 244,325,050 122,162,525 366,487,576 183,243,788 91,621,894 45,810,947 137,432,842 68,716,421 206,149,264 103,074,632 51,537,316 25,768,658 12,884,329 38,652,988 19,326,494 9,663,247

Active Feeder Network

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

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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