λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,706,366
2,706,366
2 × 3 × 132 × 17 × 157
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 13^2 × 17 × 157
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 6,245,424
Proper Divisor Sum 3,539,058
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2706343 ← → #2706391

Radix Representation

Decimal 2706366
Binary 1010010100101110111110 (22 bits)
Octal 0o12245676
Hexadecimal 0x294BBE

Divisor Catalog (48)

1 2 3 6 13 17 26 34 39 51 78 102 157 169 221 314 338 442 471 507 663 942 1,014 1,326 2,041 2,669 2,873 4,082 5,338 5,746 6,123 8,007 8,619 12,246 16,014 17,238 26,533 34,697 53,066 69,394 79,599 104,091 159,198 208,182 451,061 902,122 1,353,183 2,706,366

Collatz Trajectory (112 steps to reach 1)

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

2,706,366 1,353,183 4,059,550 2,029,775 6,089,326 3,044,663 9,133,990 4,566,995 13,700,986 6,850,493 20,551,480 10,275,740 5,137,870 2,568,935 7,706,806 3,853,403 11,560,210 5,780,105 17,340,316 8,670,158 4,335,079 13,005,238 6,502,619 19,507,858 9,753,929 29,261,788 14,630,894 7,315,447 21,946,342 10,973,171 32,919,514 16,459,757 49,379,272 24,689,636 12,344,818 6,172,409 18,517,228 9,258,614 4,629,307 13,887,922 6,943,961 20,831,884 10,415,942 5,207,971 15,623,914 7,811,957 23,435,872 11,717,936 5,858,968 2,929,484 1,464,742 732,371 2,197,114 1,098,557 3,295,672 1,647,836 823,918 411,959 1,235,878 617,939

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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