λ
Harmonic Matrix

6,378,829

127 × 50227
Deficient Odd Composite

6,378,829 has digital root 7. The neighboring primes are 6378787 and 6378847; its proper-divisor sum differs from the starting integer by -6,328,474.

Prime Factor Structure

Factorization String 127 × 50227
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 6,429,184
Proper Divisor Sum 50,355
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #6378787 ← → #6378847

Radix Representation

Decimal 6378829
Binary 11000010101010101001101 (23 bits)
Octal 0o30252515
Hexadecimal 0x61554D

Divisor Catalog (4)

1 127 50,227 6,378,829

Collatz Trajectory (240 steps to reach 1)

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

6,378,829 19,136,488 9,568,244 4,784,122 2,392,061 7,176,184 3,588,092 1,794,046 897,023 2,691,070 1,345,535 4,036,606 2,018,303 6,054,910 3,027,455 9,082,366 4,541,183 13,623,550 6,811,775 20,435,326 10,217,663 30,652,990 15,326,495 45,979,486 22,989,743 68,969,230 34,484,615 103,453,846 51,726,923 155,180,770 77,590,385 232,771,156 116,385,578 58,192,789 174,578,368 87,289,184 43,644,592 21,822,296 10,911,148 5,455,574 2,727,787 8,183,362 4,091,681 12,275,044 6,137,522 3,068,761 9,206,284 4,603,142 2,301,571 6,904,714 3,452,357 10,357,072 5,178,536 2,589,268 1,294,634 647,317 1,941,952 970,976 485,488 242,744

More profiles

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