λ
Harmonic Matrix

6,589,844

22 × 29 × 56809
Deficient Even Composite

6,589,844 has digital root 8. The neighboring primes are 6589841 and 6589883; its proper-divisor sum differs from the starting integer by -1,249,588.

Prime Factor Structure

Factorization String 2^2 × 29 × 56809
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 11,930,100
Proper Divisor Sum 5,340,256
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #6589841 ← → #6589883

Radix Representation

Decimal 6589844
Binary 11001001000110110010100 (23 bits)
Octal 0o31106624
Hexadecimal 0x648D94

Divisor Catalog (12)

1 2 4 29 58 116 56,809 113,618 227,236 1,647,461 3,294,922 6,589,844

Collatz Trajectory (165 steps to reach 1)

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

6,589,844 3,294,922 1,647,461 4,942,384 2,471,192 1,235,596 617,798 308,899 926,698 463,349 1,390,048 695,024 347,512 173,756 86,878 43,439 130,318 65,159 195,478 97,739 293,218 146,609 439,828 219,914 109,957 329,872 164,936 82,468 41,234 20,617 61,852 30,926 15,463 46,390 23,195 69,586 34,793 104,380 52,190 26,095 78,286 39,143 117,430 58,715 176,146 88,073 264,220 132,110 66,055 198,166 99,083 297,250 148,625 445,876 222,938 111,469 334,408 167,204 83,602 41,801

More profiles

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