λ
Sigma Notebook

6,330,727

13 × 23 × 31 × 683
Deficient Odd Composite

6,330,727 is odd and not a perfect square. Its factorization is 13 × 23 × 31 × 683 and its 16 divisors sum to 7,354,368.

Prime Factor Structure

Factorization String 13 × 23 × 31 × 683
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 7,354,368
Proper Divisor Sum 1,023,641
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #6330719 ← → #6330733

Radix Representation

Decimal 6330727
Binary 11000001001100101100111 (23 bits)
Octal 0o30114547
Hexadecimal 0x609967

Divisor Catalog (16)

1 13 23 31 299 403 683 713 8,879 9,269 15,709 21,173 204,217 275,249 486,979 6,330,727

Collatz Trajectory (126 steps to reach 1)

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

6,330,727 18,992,182 9,496,091 28,488,274 14,244,137 42,732,412 21,366,206 10,683,103 32,049,310 16,024,655 48,073,966 24,036,983 72,110,950 36,055,475 108,166,426 54,083,213 162,249,640 81,124,820 40,562,410 20,281,205 60,843,616 30,421,808 15,210,904 7,605,452 3,802,726 1,901,363 5,704,090 2,852,045 8,556,136 4,278,068 2,139,034 1,069,517 3,208,552 1,604,276 802,138 401,069 1,203,208 601,604 300,802 150,401 451,204 225,602 112,801 338,404 169,202 84,601 253,804 126,902 63,451 190,354 95,177 285,532 142,766 71,383 214,150 107,075 321,226 160,613 481,840 240,920

More profiles

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