λ
Harmonic Matrix

6,587,195

5 × 439 × 3001
Deficient Odd Composite

6,587,195 has digital root 5. The neighboring primes are 6587171 and 6587201; its proper-divisor sum differs from the starting integer by -5,249,110.

Prime Factor Structure

Factorization String 5 × 439 × 3001
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,925,280
Proper Divisor Sum 1,338,085
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #6587171 ← → #6587201

Radix Representation

Decimal 6587195
Binary 11001001000001100111011 (23 bits)
Octal 0o31101473
Hexadecimal 0x64833B

Divisor Catalog (8)

1 5 439 2,195 3,001 15,005 1,317,439 6,587,195

Collatz Trajectory (116 steps to reach 1)

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

6,587,195 19,761,586 9,880,793 29,642,380 14,821,190 7,410,595 22,231,786 11,115,893 33,347,680 16,673,840 8,336,920 4,168,460 2,084,230 1,042,115 3,126,346 1,563,173 4,689,520 2,344,760 1,172,380 586,190 293,095 879,286 439,643 1,318,930 659,465 1,978,396 989,198 494,599 1,483,798 741,899 2,225,698 1,112,849 3,338,548 1,669,274 834,637 2,503,912 1,251,956 625,978 312,989 938,968 469,484 234,742 117,371 352,114 176,057 528,172 264,086 132,043 396,130 198,065 594,196 297,098 148,549 445,648 222,824 111,412 55,706 27,853 83,560 41,780

More profiles

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