λ
Sigma Notebook

2,112,369

3 × 7 × 17 × 61 × 97
Deficient Odd Composite

2,112,369 is odd and not a perfect square. Its factorization is 3 × 7 × 17 × 61 × 97 and its 32 divisors sum to 3,499,776.

Prime Factor Structure

Factorization String 3 × 7 × 17 × 61 × 97
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 3,499,776
Proper Divisor Sum 1,387,407
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #2112353 ← → #2112413

Radix Representation

Decimal 2112369
Binary 1000000011101101110001 (22 bits)
Octal 0o10035561
Hexadecimal 0x203B71

Divisor Catalog (32)

1 3 7 17 21 51 61 97 119 183 291 357 427 679 1,037 1,281 1,649 2,037 3,111 4,947 5,917 7,259 11,543 17,751 21,777 34,629 41,419 100,589 124,257 301,767 704,123 2,112,369

Collatz Trajectory (78 steps to reach 1)

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

2,112,369 6,337,108 3,168,554 1,584,277 4,752,832 2,376,416 1,188,208 594,104 297,052 148,526 74,263 222,790 111,395 334,186 167,093 501,280 250,640 125,320 62,660 31,330 15,665 46,996 23,498 11,749 35,248 17,624 8,812 4,406 2,203 6,610 3,305 9,916 4,958 2,479 7,438 3,719 11,158 5,579 16,738 8,369 25,108 12,554 6,277 18,832 9,416 4,708 2,354 1,177 3,532 1,766 883 2,650 1,325 3,976 1,988 994 497 1,492 746 373

More profiles

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