λ
Harmonic Matrix

3,267,939

3 × 1089313
Deficient Odd Composite

3,267,939 has digital root 3. The neighboring primes are 3267937 and 3267941; its proper-divisor sum differs from the starting integer by -2,178,622.

Prime Factor Structure

Factorization String 3 × 1089313
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 4,357,256
Proper Divisor Sum 1,089,317
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #3267937 ← → #3267941

Radix Representation

Decimal 3267939
Binary 1100011101110101100011 (22 bits)
Octal 0o14356543
Hexadecimal 0x31DD63

Divisor Catalog (4)

1 3 1,089,313 3,267,939

Collatz Trajectory (133 steps to reach 1)

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

3,267,939 9,803,818 4,901,909 14,705,728 7,352,864 3,676,432 1,838,216 919,108 459,554 229,777 689,332 344,666 172,333 517,000 258,500 129,250 64,625 193,876 96,938 48,469 145,408 72,704 36,352 18,176 9,088 4,544 2,272 1,136 568 284 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593

More profiles

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