λ
Harmonic Matrix

3,207,423

3 × 1069141
Deficient Odd Composite

3,207,423 has digital root 3. The neighboring primes are 3207397 and 3207431; its proper-divisor sum differs from the starting integer by -2,138,278.

Prime Factor Structure

Factorization String 3 × 1069141
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 4,276,568
Proper Divisor Sum 1,069,145
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #3207397 ← → #3207431

Radix Representation

Decimal 3207423
Binary 1100001111000011111111 (22 bits)
Octal 0o14170377
Hexadecimal 0x30F0FF

Divisor Catalog (4)

1 3 1,069,141 3,207,423

Collatz Trajectory (301 steps to reach 1)

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

3,207,423 9,622,270 4,811,135 14,433,406 7,216,703 21,650,110 10,825,055 32,475,166 16,237,583 48,712,750 24,356,375 73,069,126 36,534,563 109,603,690 54,801,845 164,405,536 82,202,768 41,101,384 20,550,692 10,275,346 5,137,673 15,413,020 7,706,510 3,853,255 11,559,766 5,779,883 17,339,650 8,669,825 26,009,476 13,004,738 6,502,369 19,507,108 9,753,554 4,876,777 14,630,332 7,315,166 3,657,583 10,972,750 5,486,375 16,459,126 8,229,563 24,688,690 12,344,345 37,033,036 18,516,518 9,258,259 27,774,778 13,887,389 41,662,168 20,831,084 10,415,542 5,207,771 15,623,314 7,811,657 23,434,972 11,717,486 5,858,743 17,576,230 8,788,115 26,364,346

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