λ
Harmonic Matrix

3,322,926

2 × 32 × 184607
Abundant Even Composite

3,322,926 has digital root 9. The neighboring primes are 3322919 and 3322931; its proper-divisor sum differs from the starting integer by 553,860.

Prime Factor Structure

Factorization String 2 × 3^2 × 184607
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 7,199,712
Proper Divisor Sum 3,876,786
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3322919 ← → #3322931

Radix Representation

Decimal 3322926
Binary 1100101011010000101110 (22 bits)
Octal 0o14532056
Hexadecimal 0x32B42E

Divisor Catalog (12)

1 2 3 6 9 18 184,607 369,214 553,821 1,107,642 1,661,463 3,322,926

Collatz Trajectory (177 steps to reach 1)

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

3,322,926 1,661,463 4,984,390 2,492,195 7,476,586 3,738,293 11,214,880 5,607,440 2,803,720 1,401,860 700,930 350,465 1,051,396 525,698 262,849 788,548 394,274 197,137 591,412 295,706 147,853 443,560 221,780 110,890 55,445 166,336 83,168 41,584 20,792 10,396 5,198 2,599 7,798 3,899 11,698 5,849 17,548 8,774 4,387 13,162 6,581 19,744 9,872 4,936 2,468 1,234 617 1,852 926 463 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587

More profiles

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