λ
Harmonic Matrix

6,777,679

17 × 421 × 947
Deficient Odd Composite

6,777,679 has digital root 4. The neighboring primes are 6777637 and 6777691; its proper-divisor sum differs from the starting integer by -6,354,350.

Prime Factor Structure

Factorization String 17 × 421 × 947
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,201,008
Proper Divisor Sum 423,329
Digit Sum / Digital Root 49 (Root: 4)
Adjacent Primes #6777637 ← → #6777691

Radix Representation

Decimal 6777679
Binary 11001110110101101001111 (23 bits)
Octal 0o31665517
Hexadecimal 0x676B4F

Divisor Catalog (8)

1 17 421 947 7,157 16,099 398,687 6,777,679

Collatz Trajectory (253 steps to reach 1)

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

6,777,679 20,333,038 10,166,519 30,499,558 15,249,779 45,749,338 22,874,669 68,624,008 34,312,004 17,156,002 8,578,001 25,734,004 12,867,002 6,433,501 19,300,504 9,650,252 4,825,126 2,412,563 7,237,690 3,618,845 10,856,536 5,428,268 2,714,134 1,357,067 4,071,202 2,035,601 6,106,804 3,053,402 1,526,701 4,580,104 2,290,052 1,145,026 572,513 1,717,540 858,770 429,385 1,288,156 644,078 322,039 966,118 483,059 1,449,178 724,589 2,173,768 1,086,884 543,442 271,721 815,164 407,582 203,791 611,374 305,687 917,062 458,531 1,375,594 687,797 2,063,392 1,031,696 515,848 257,924

More profiles

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