λ
Harmonic Matrix

6,799,926

2 × 3 × 72 × 101 × 229
Abundant Even Composite

6,799,926 has digital root 3. The neighboring primes are 6799921 and 6799937; its proper-divisor sum differs from the starting integer by 2,446,788.

Prime Factor Structure

Factorization String 2 × 3 × 7^2 × 101 × 229
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 16,046,640
Proper Divisor Sum 9,246,714
Digit Sum / Digital Root 48 (Root: 3)
Adjacent Primes #6799921 ← → #6799937

Radix Representation

Decimal 6799926
Binary 11001111100001000110110 (23 bits)
Octal 0o31741066
Hexadecimal 0x67C236

Divisor Catalog (48)

1 2 3 6 7 14 21 42 49 98 101 147 202 229 294 303 458 606 687 707 1,374 1,414 1,603 2,121 3,206 4,242 4,809 4,949 9,618 9,898 11,221 14,847 22,442 23,129 29,694 33,663 46,258 67,326 69,387 138,774 161,903 323,806 485,709 971,418 1,133,321 2,266,642 3,399,963 6,799,926

Collatz Trajectory (191 steps to reach 1)

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

6,799,926 3,399,963 10,199,890 5,099,945 15,299,836 7,649,918 3,824,959 11,474,878 5,737,439 17,212,318 8,606,159 25,818,478 12,909,239 38,727,718 19,363,859 58,091,578 29,045,789 87,137,368 43,568,684 21,784,342 10,892,171 32,676,514 16,338,257 49,014,772 24,507,386 12,253,693 36,761,080 18,380,540 9,190,270 4,595,135 13,785,406 6,892,703 20,678,110 10,339,055 31,017,166 15,508,583 46,525,750 23,262,875 69,788,626 34,894,313 104,682,940 52,341,470 26,170,735 78,512,206 39,256,103 117,768,310 58,884,155 176,652,466 88,326,233 264,978,700 132,489,350 66,244,675 198,734,026 99,367,013 298,101,040 149,050,520 74,525,260 37,262,630 18,631,315 55,893,946

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