λ
Harmonic Matrix

6,786,329

11 × 83 × 7433
Deficient Odd Composite

6,786,329 has digital root 5. The neighboring primes are 6786323 and 6786341; its proper-divisor sum differs from the starting integer by -6,079,186.

Prime Factor Structure

Factorization String 11 × 83 × 7433
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,493,472
Proper Divisor Sum 707,143
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #6786323 ← → #6786341

Radix Representation

Decimal 6786329
Binary 11001111000110100011001 (23 bits)
Octal 0o31706431
Hexadecimal 0x678D19

Divisor Catalog (8)

1 11 83 913 7,433 81,763 616,939 6,786,329

Collatz Trajectory (222 steps to reach 1)

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

6,786,329 20,358,988 10,179,494 5,089,747 15,269,242 7,634,621 22,903,864 11,451,932 5,725,966 2,862,983 8,588,950 4,294,475 12,883,426 6,441,713 19,325,140 9,662,570 4,831,285 14,493,856 7,246,928 3,623,464 1,811,732 905,866 452,933 1,358,800 679,400 339,700 169,850 84,925 254,776 127,388 63,694 31,847 95,542 47,771 143,314 71,657 214,972 107,486 53,743 161,230 80,615 241,846 120,923 362,770 181,385 544,156 272,078 136,039 408,118 204,059 612,178 306,089 918,268 459,134 229,567 688,702 344,351 1,033,054 516,527 1,549,582

More profiles

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