λ
Harmonic Matrix

6,825,095

5 × 1365019
Deficient Odd Composite

6,825,095 has digital root 8. The neighboring primes are 6825079 and 6825097; its proper-divisor sum differs from the starting integer by -5,460,070.

Prime Factor Structure

Factorization String 5 × 1365019
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 8,190,120
Proper Divisor Sum 1,365,025
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #6825079 ← → #6825097

Radix Representation

Decimal 6825095
Binary 11010000010010010000111 (23 bits)
Octal 0o32022207
Hexadecimal 0x682487

Divisor Catalog (4)

1 5 1,365,019 6,825,095

Collatz Trajectory (129 steps to reach 1)

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

6,825,095 20,475,286 10,237,643 30,712,930 15,356,465 46,069,396 23,034,698 11,517,349 34,552,048 17,276,024 8,638,012 4,319,006 2,159,503 6,478,510 3,239,255 9,717,766 4,858,883 14,576,650 7,288,325 21,864,976 10,932,488 5,466,244 2,733,122 1,366,561 4,099,684 2,049,842 1,024,921 3,074,764 1,537,382 768,691 2,306,074 1,153,037 3,459,112 1,729,556 864,778 432,389 1,297,168 648,584 324,292 162,146 81,073 243,220 121,610 60,805 182,416 91,208 45,604 22,802 11,401 34,204 17,102 8,551 25,654 12,827 38,482 19,241 57,724 28,862 14,431 43,294

More profiles

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