λ
Harmonic Matrix

6,343,908

22 × 3 × 528659
Abundant Even Composite

6,343,908 has digital root 6. The neighboring primes are 6343903 and 6343927; its proper-divisor sum differs from the starting integer by 2,114,664.

Prime Factor Structure

Factorization String 2^2 × 3 × 528659
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 14,802,480
Proper Divisor Sum 8,458,572
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #6343903 ← → #6343927

Radix Representation

Decimal 6343908
Binary 11000001100110011100100 (23 bits)
Octal 0o30146344
Hexadecimal 0x60CCE4

Divisor Catalog (12)

1 2 3 4 6 12 528,659 1,057,318 1,585,977 2,114,636 3,171,954 6,343,908

Collatz Trajectory (147 steps to reach 1)

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

6,343,908 3,171,954 1,585,977 4,757,932 2,378,966 1,189,483 3,568,450 1,784,225 5,352,676 2,676,338 1,338,169 4,014,508 2,007,254 1,003,627 3,010,882 1,505,441 4,516,324 2,258,162 1,129,081 3,387,244 1,693,622 846,811 2,540,434 1,270,217 3,810,652 1,905,326 952,663 2,857,990 1,428,995 4,286,986 2,143,493 6,430,480 3,215,240 1,607,620 803,810 401,905 1,205,716 602,858 301,429 904,288 452,144 226,072 113,036 56,518 28,259 84,778 42,389 127,168 63,584 31,792 15,896 7,948 3,974 1,987 5,962 2,981 8,944 4,472 2,236 1,118

More profiles

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