λ
Sigma Notebook

8,358,561

32 × 31 × 29959
Deficient Odd Composite

8,358,561 is odd and not a perfect square. Its factorization is 3^2 × 31 × 29959 and its 12 divisors sum to 12,463,360.

Prime Factor Structure

Factorization String 3^2 × 31 × 29959
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 12,463,360
Proper Divisor Sum 4,104,799
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #8358529 ← → #8358563

Radix Representation

Decimal 8358561
Binary 11111111000101010100001 (23 bits)
Octal 0o37705241
Hexadecimal 0x7F8AA1

Divisor Catalog (12)

1 3 9 31 93 279 29,959 89,877 269,631 928,729 2,786,187 8,358,561

Collatz Trajectory (199 steps to reach 1)

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

8,358,561 25,075,684 12,537,842 6,268,921 18,806,764 9,403,382 4,701,691 14,105,074 7,052,537 21,157,612 10,578,806 5,289,403 15,868,210 7,934,105 23,802,316 11,901,158 5,950,579 17,851,738 8,925,869 26,777,608 13,388,804 6,694,402 3,347,201 10,041,604 5,020,802 2,510,401 7,531,204 3,765,602 1,882,801 5,648,404 2,824,202 1,412,101 4,236,304 2,118,152 1,059,076 529,538 264,769 794,308 397,154 198,577 595,732 297,866 148,933 446,800 223,400 111,700 55,850 27,925 83,776 41,888 20,944 10,472 5,236 2,618 1,309 3,928 1,964 982 491 1,474

More profiles

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