λ
Sigma Notebook

3,384,369

33 × 163 × 769
Deficient Odd Composite

3,384,369 is odd and not a perfect square. Its factorization is 3^3 × 163 × 769 and its 16 divisors sum to 5,051,200.

Prime Factor Structure

Factorization String 3^3 × 163 × 769
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 5,051,200
Proper Divisor Sum 1,666,831
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3384361 ← → #3384379

Radix Representation

Decimal 3384369
Binary 1100111010010000110001 (22 bits)
Octal 0o14722061
Hexadecimal 0x33A431

Divisor Catalog (16)

1 3 9 27 163 489 769 1,467 2,307 4,401 6,921 20,763 125,347 376,041 1,128,123 3,384,369

Collatz Trajectory (107 steps to reach 1)

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

3,384,369 10,153,108 5,076,554 2,538,277 7,614,832 3,807,416 1,903,708 951,854 475,927 1,427,782 713,891 2,141,674 1,070,837 3,212,512 1,606,256 803,128 401,564 200,782 100,391 301,174 150,587 451,762 225,881 677,644 338,822 169,411 508,234 254,117 762,352 381,176 190,588 95,294 47,647 142,942 71,471 214,414 107,207 321,622 160,811 482,434 241,217 723,652 361,826 180,913 542,740 271,370 135,685 407,056 203,528 101,764 50,882 25,441 76,324 38,162 19,081 57,244 28,622 14,311 42,934 21,467

More profiles

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