λ
Harmonic Matrix

6,739,844

22 × 683 × 2467
Deficient Even Composite

6,739,844 has digital root 5. The neighboring primes are 6739807 and 6739877; its proper-divisor sum differs from the starting integer by -1,662,904.

Prime Factor Structure

Factorization String 2^2 × 683 × 2467
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 11,816,784
Proper Divisor Sum 5,076,940
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #6739807 ← → #6739877

Radix Representation

Decimal 6739844
Binary 11001101101011110000100 (23 bits)
Octal 0o31553604
Hexadecimal 0x66D784

Divisor Catalog (12)

1 2 4 683 1,366 2,467 2,732 4,934 9,868 1,684,961 3,369,922 6,739,844

Collatz Trajectory (160 steps to reach 1)

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

6,739,844 3,369,922 1,684,961 5,054,884 2,527,442 1,263,721 3,791,164 1,895,582 947,791 2,843,374 1,421,687 4,265,062 2,132,531 6,397,594 3,198,797 9,596,392 4,798,196 2,399,098 1,199,549 3,598,648 1,799,324 899,662 449,831 1,349,494 674,747 2,024,242 1,012,121 3,036,364 1,518,182 759,091 2,277,274 1,138,637 3,415,912 1,707,956 853,978 426,989 1,280,968 640,484 320,242 160,121 480,364 240,182 120,091 360,274 180,137 540,412 270,206 135,103 405,310 202,655 607,966 303,983 911,950 455,975 1,367,926 683,963 2,051,890 1,025,945 3,077,836 1,538,918

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