λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,536,766
3,536,766
2 × 32 × 349 × 563
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 349 × 563
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 7,698,600
Proper Divisor Sum 4,161,834
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3536749 ← → #3536789

Radix Representation

Decimal 3536766
Binary 1101011111011101111110 (22 bits)
Octal 0o15373576
Hexadecimal 0x35F77E

Divisor Catalog (24)

1 2 3 6 9 18 349 563 698 1,047 1,126 1,689 2,094 3,141 3,378 5,067 6,282 10,134 196,487 392,974 589,461 1,178,922 1,768,383 3,536,766

Collatz Trajectory (358 steps to reach 1)

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

3,536,766 1,768,383 5,305,150 2,652,575 7,957,726 3,978,863 11,936,590 5,968,295 17,904,886 8,952,443 26,857,330 13,428,665 40,285,996 20,142,998 10,071,499 30,214,498 15,107,249 45,321,748 22,660,874 11,330,437 33,991,312 16,995,656 8,497,828 4,248,914 2,124,457 6,373,372 3,186,686 1,593,343 4,780,030 2,390,015 7,170,046 3,585,023 10,755,070 5,377,535 16,132,606 8,066,303 24,198,910 12,099,455 36,298,366 18,149,183 54,447,550 27,223,775 81,671,326 40,835,663 122,506,990 61,253,495 183,760,486 91,880,243 275,640,730 137,820,365 413,461,096 206,730,548 103,365,274 51,682,637 155,047,912 77,523,956 38,761,978 19,380,989 58,142,968 29,071,484

Active Feeder Network

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

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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