λ
Sigma Notebook

6,738,876

22 × 36 × 2311
Abundant Even Composite

6,738,876 is even and not a perfect square. Its factorization is 2^2 × 3^6 × 2311 and its 42 divisors sum to 17,689,112.

Prime Factor Structure

Factorization String 2^2 × 3^6 × 2311
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 42
Divisor Sum (σ) 17,689,112
Proper Divisor Sum 10,950,236
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #6738857 ← → #6738877

Radix Representation

Decimal 6738876
Binary 11001101101001110111100 (23 bits)
Octal 0o31551674
Hexadecimal 0x66D3BC

Divisor Catalog (42)

1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1,458 2,311 2,916 4,622 6,933 9,244 13,866 20,799 27,732 41,598 62,397 83,196 124,794 187,191 249,588 374,382 561,573 748,764 1,123,146 1,684,719 2,246,292 3,369,438 6,738,876

Collatz Trajectory (134 steps to reach 1)

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

6,738,876 3,369,438 1,684,719 5,054,158 2,527,079 7,581,238 3,790,619 11,371,858 5,685,929 17,057,788 8,528,894 4,264,447 12,793,342 6,396,671 19,190,014 9,595,007 28,785,022 14,392,511 43,177,534 21,588,767 64,766,302 32,383,151 97,149,454 48,574,727 145,724,182 72,862,091 218,586,274 109,293,137 327,879,412 163,939,706 81,969,853 245,909,560 122,954,780 61,477,390 30,738,695 92,216,086 46,108,043 138,324,130 69,162,065 207,486,196 103,743,098 51,871,549 155,614,648 77,807,324 38,903,662 19,451,831 58,355,494 29,177,747 87,533,242 43,766,621 131,299,864 65,649,932 32,824,966 16,412,483 49,237,450 24,618,725 73,856,176 36,928,088 18,464,044 9,232,022

More profiles

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