λ
Harmonic Matrix

6,729,665

5 × 1345933
Deficient Odd Composite

6,729,665 has digital root 5. The neighboring primes are 6729661 and 6729677; its proper-divisor sum differs from the starting integer by -5,383,726.

Prime Factor Structure

Factorization String 5 × 1345933
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 8,075,604
Proper Divisor Sum 1,345,939
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #6729661 ← → #6729677

Radix Representation

Decimal 6729665
Binary 11001101010111111000001 (23 bits)
Octal 0o31527701
Hexadecimal 0x66AFC1

Divisor Catalog (4)

1 5 1,345,933 6,729,665

Collatz Trajectory (240 steps to reach 1)

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

6,729,665 20,188,996 10,094,498 5,047,249 15,141,748 7,570,874 3,785,437 11,356,312 5,678,156 2,839,078 1,419,539 4,258,618 2,129,309 6,387,928 3,193,964 1,596,982 798,491 2,395,474 1,197,737 3,593,212 1,796,606 898,303 2,694,910 1,347,455 4,042,366 2,021,183 6,063,550 3,031,775 9,095,326 4,547,663 13,642,990 6,821,495 20,464,486 10,232,243 30,696,730 15,348,365 46,045,096 23,022,548 11,511,274 5,755,637 17,266,912 8,633,456 4,316,728 2,158,364 1,079,182 539,591 1,618,774 809,387 2,428,162 1,214,081 3,642,244 1,821,122 910,561 2,731,684 1,365,842 682,921 2,048,764 1,024,382 512,191 1,536,574

More profiles

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