λ
Harmonic Matrix

6,736,790

2 × 5 × 163 × 4133
Deficient Even Composite

6,736,790 has digital root 2. The neighboring primes are 6736771 and 6736799; its proper-divisor sum differs from the starting integer by -1,270,012.

Prime Factor Structure

Factorization String 2 × 5 × 163 × 4133
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 12,203,568
Proper Divisor Sum 5,466,778
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #6736771 ← → #6736799

Radix Representation

Decimal 6736790
Binary 11001101100101110010110 (23 bits)
Octal 0o31545626
Hexadecimal 0x66CB96

Divisor Catalog (16)

1 2 5 10 163 326 815 1,630 4,133 8,266 20,665 41,330 673,679 1,347,358 3,368,395 6,736,790

Collatz Trajectory (116 steps to reach 1)

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

6,736,790 3,368,395 10,105,186 5,052,593 15,157,780 7,578,890 3,789,445 11,368,336 5,684,168 2,842,084 1,421,042 710,521 2,131,564 1,065,782 532,891 1,598,674 799,337 2,398,012 1,199,006 599,503 1,798,510 899,255 2,697,766 1,348,883 4,046,650 2,023,325 6,069,976 3,034,988 1,517,494 758,747 2,276,242 1,138,121 3,414,364 1,707,182 853,591 2,560,774 1,280,387 3,841,162 1,920,581 5,761,744 2,880,872 1,440,436 720,218 360,109 1,080,328 540,164 270,082 135,041 405,124 202,562 101,281 303,844 151,922 75,961 227,884 113,942 56,971 170,914 85,457 256,372

More profiles

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