λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,666,876
3,666,876
22 × 3 × 29 × 41 × 257
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 29 × 41 × 257
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 9,102,240
Proper Divisor Sum 5,435,364
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #3666853 ← → #3666877

Radix Representation

Decimal 3666876
Binary 1101111111001110111100 (22 bits)
Octal 0o15771674
Hexadecimal 0x37F3BC

Divisor Catalog (48)

1 2 3 4 6 12 29 41 58 82 87 116 123 164 174 246 257 348 492 514 771 1,028 1,189 1,542 2,378 3,084 3,567 4,756 7,134 7,453 10,537 14,268 14,906 21,074 22,359 29,812 31,611 42,148 44,718 63,222 89,436 126,444 305,573 611,146 916,719 1,222,292 1,833,438 3,666,876

Collatz Trajectory (252 steps to reach 1)

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

3,666,876 1,833,438 916,719 2,750,158 1,375,079 4,125,238 2,062,619 6,187,858 3,093,929 9,281,788 4,640,894 2,320,447 6,961,342 3,480,671 10,442,014 5,221,007 15,663,022 7,831,511 23,494,534 11,747,267 35,241,802 17,620,901 52,862,704 26,431,352 13,215,676 6,607,838 3,303,919 9,911,758 4,955,879 14,867,638 7,433,819 22,301,458 11,150,729 33,452,188 16,726,094 8,363,047 25,089,142 12,544,571 37,633,714 18,816,857 56,450,572 28,225,286 14,112,643 42,337,930 21,168,965 63,506,896 31,753,448 15,876,724 7,938,362 3,969,181 11,907,544 5,953,772 2,976,886 1,488,443 4,465,330 2,232,665 6,697,996 3,348,998 1,674,499 5,023,498

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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