λ
Harmonic Matrix

6,446,122

2 × 3223061
Deficient Even Composite

6,446,122 has digital root 7. The neighboring primes are 6446107 and 6446129; its proper-divisor sum differs from the starting integer by -3,223,058.

Prime Factor Structure

Factorization String 2 × 3223061
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 9,669,186
Proper Divisor Sum 3,223,064
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #6446107 ← → #6446129

Radix Representation

Decimal 6446122
Binary 11000100101110000101010 (23 bits)
Octal 0o30456052
Hexadecimal 0x625C2A

Divisor Catalog (4)

1 2 3,223,061 6,446,122

Collatz Trajectory (72 steps to reach 1)

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

6,446,122 3,223,061 9,669,184 4,834,592 2,417,296 1,208,648 604,324 302,162 151,081 453,244 226,622 113,311 339,934 169,967 509,902 254,951 764,854 382,427 1,147,282 573,641 1,720,924 860,462 430,231 1,290,694 645,347 1,936,042 968,021 2,904,064 1,452,032 726,016 363,008 181,504 90,752 45,376 22,688 11,344 5,672 2,836 1,418 709 2,128 1,064 532 266 133 400 200 100 50 25 76 38 19 58 29 88 44 22 11 34

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