λ
Ratio Atlas
Atlas › Integer Profiles › Node 6,992,055
6,992,055
33 × 5 × 73 × 151
Abundant Odd Composite

Prime Factor Structure

Factorization String 3^3 × 5 × 7^3 × 151
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 14,592,000
Proper Divisor Sum 7,599,945
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #6992047 ← → #6992059

Radix Representation

Decimal 6992055
Binary 11010101011000010110111 (23 bits)
Octal 0o32530267
Hexadecimal 0x6AB0B7

Divisor Catalog (60 of 64)

1 3 5 7 9 15 21 27 35 45 49 63 105 135 147 151 189 245 315 343 441 453 735 755 945 1,029 1,057 1,323 1,359 1,715 2,205 2,265 3,087 3,171 4,077 5,145 5,285 6,615 6,795 7,399 9,261 9,513 15,435 15,855 20,385 22,197 28,539 36,995 46,305 47,565 51,793 66,591 110,985 142,695 155,379 199,773 258,965 332,955 466,137 776,895

Collatz Trajectory (253 steps to reach 1)

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

6,992,055 20,976,166 10,488,083 31,464,250 15,732,125 47,196,376 23,598,188 11,799,094 5,899,547 17,698,642 8,849,321 26,547,964 13,273,982 6,636,991 19,910,974 9,955,487 29,866,462 14,933,231 44,799,694 22,399,847 67,199,542 33,599,771 100,799,314 50,399,657 151,198,972 75,599,486 37,799,743 113,399,230 56,699,615 170,098,846 85,049,423 255,148,270 127,574,135 382,722,406 191,361,203 574,083,610 287,041,805 861,125,416 430,562,708 215,281,354 107,640,677 322,922,032 161,461,016 80,730,508 40,365,254 20,182,627 60,547,882 30,273,941 90,821,824 45,410,912 22,705,456 11,352,728 5,676,364 2,838,182 1,419,091 4,257,274 2,128,637 6,385,912 3,192,956 1,596,478

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 #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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