λ
Sigma Notebook

6,321,939

3 × 13 × 173 × 937
Deficient Odd Composite

6,321,939 is odd and not a perfect square. Its factorization is 3 × 13 × 173 × 937 and its 16 divisors sum to 9,139,872.

Prime Factor Structure

Factorization String 3 × 13 × 173 × 937
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 9,139,872
Proper Divisor Sum 2,817,933
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #6321907 ← → #6321947

Radix Representation

Decimal 6321939
Binary 11000000111011100010011 (23 bits)
Octal 0o30073423
Hexadecimal 0x607713

Divisor Catalog (16)

1 3 13 39 173 519 937 2,249 2,811 6,747 12,181 36,543 162,101 486,303 2,107,313 6,321,939

Collatz Trajectory (152 steps to reach 1)

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

6,321,939 18,965,818 9,482,909 28,448,728 14,224,364 7,112,182 3,556,091 10,668,274 5,334,137 16,002,412 8,001,206 4,000,603 12,001,810 6,000,905 18,002,716 9,001,358 4,500,679 13,502,038 6,751,019 20,253,058 10,126,529 30,379,588 15,189,794 7,594,897 22,784,692 11,392,346 5,696,173 17,088,520 8,544,260 4,272,130 2,136,065 6,408,196 3,204,098 1,602,049 4,806,148 2,403,074 1,201,537 3,604,612 1,802,306 901,153 2,703,460 1,351,730 675,865 2,027,596 1,013,798 506,899 1,520,698 760,349 2,281,048 1,140,524 570,262 285,131 855,394 427,697 1,283,092 641,546 320,773 962,320 481,160 240,580

More profiles

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