λ
Sigma Notebook

3,212,209

7 × 11 × 13 × 3209
Deficient Odd Composite

3,212,209 is odd and not a perfect square. Its factorization is 7 × 11 × 13 × 3209 and its 16 divisors sum to 4,314,240.

Prime Factor Structure

Factorization String 7 × 11 × 13 × 3209
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 4,314,240
Proper Divisor Sum 1,102,031
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #3212191 ← → #3212213

Radix Representation

Decimal 3212209
Binary 1100010000001110110001 (22 bits)
Octal 0o14201661
Hexadecimal 0x3103B1

Divisor Catalog (16)

1 7 11 13 77 91 143 1,001 3,209 22,463 35,299 41,717 247,093 292,019 458,887 3,212,209

Collatz Trajectory (164 steps to reach 1)

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

3,212,209 9,636,628 4,818,314 2,409,157 7,227,472 3,613,736 1,806,868 903,434 451,717 1,355,152 677,576 338,788 169,394 84,697 254,092 127,046 63,523 190,570 95,285 285,856 142,928 71,464 35,732 17,866 8,933 26,800 13,400 6,700 3,350 1,675 5,026 2,513 7,540 3,770 1,885 5,656 2,828 1,414 707 2,122 1,061 3,184 1,592 796 398 199 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190 95

More profiles

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