λ
Harmonic Matrix

3,192,572

22 × 798143
Deficient Even Composite

3,192,572 has digital root 2. The neighboring primes are 3192571 and 3192577; its proper-divisor sum differs from the starting integer by -798,136.

Prime Factor Structure

Factorization String 2^2 × 798143
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 5,587,008
Proper Divisor Sum 2,394,436
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #3192571 ← → #3192577

Radix Representation

Decimal 3192572
Binary 1100001011011011111100 (22 bits)
Octal 0o14133374
Hexadecimal 0x30B6FC

Divisor Catalog (6)

1 2 4 798,143 1,596,286 3,192,572

Collatz Trajectory (231 steps to reach 1)

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

3,192,572 1,596,286 798,143 2,394,430 1,197,215 3,591,646 1,795,823 5,387,470 2,693,735 8,081,206 4,040,603 12,121,810 6,060,905 18,182,716 9,091,358 4,545,679 13,637,038 6,818,519 20,455,558 10,227,779 30,683,338 15,341,669 46,025,008 23,012,504 11,506,252 5,753,126 2,876,563 8,629,690 4,314,845 12,944,536 6,472,268 3,236,134 1,618,067 4,854,202 2,427,101 7,281,304 3,640,652 1,820,326 910,163 2,730,490 1,365,245 4,095,736 2,047,868 1,023,934 511,967 1,535,902 767,951 2,303,854 1,151,927 3,455,782 1,727,891 5,183,674 2,591,837 7,775,512 3,887,756 1,943,878 971,939 2,915,818 1,457,909 4,373,728

More profiles

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