λ
Ratio Atlas
Atlas › Integer Profiles › Node 8,740,347
8,740,347
3 × 7 × 11 × 157 × 241
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 7 × 11 × 157 × 241
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 14,682,624
Proper Divisor Sum 5,942,277
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #8740337 ← → #8740367

Radix Representation

Decimal 8740347
Binary 100001010101110111111011 (24 bits)
Octal 0o41256773
Hexadecimal 0x855DFB

Divisor Catalog (32)

1 3 7 11 21 33 77 157 231 241 471 723 1,099 1,687 1,727 2,651 3,297 5,061 5,181 7,953 12,089 18,557 36,267 37,837 55,671 113,511 264,859 416,207 794,577 1,248,621 2,913,449 8,740,347

Collatz Trajectory (212 steps to reach 1)

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

8,740,347 26,221,042 13,110,521 39,331,564 19,665,782 9,832,891 29,498,674 14,749,337 44,248,012 22,124,006 11,062,003 33,186,010 16,593,005 49,779,016 24,889,508 12,444,754 6,222,377 18,667,132 9,333,566 4,666,783 14,000,350 7,000,175 21,000,526 10,500,263 31,500,790 15,750,395 47,251,186 23,625,593 70,876,780 35,438,390 17,719,195 53,157,586 26,578,793 79,736,380 39,868,190 19,934,095 59,802,286 29,901,143 89,703,430 44,851,715 134,555,146 67,277,573 201,832,720 100,916,360 50,458,180 25,229,090 12,614,545 37,843,636 18,921,818 9,460,909 28,382,728 14,191,364 7,095,682 3,547,841 10,643,524 5,321,762 2,660,881 7,982,644 3,991,322 1,995,661

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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