λ
Sigma Notebook

3,676,209

3 × 37 × 33119
Deficient Odd Composite

3,676,209 is odd and not a perfect square. Its factorization is 3 × 37 × 33119 and its 8 divisors sum to 5,034,240.

Prime Factor Structure

Factorization String 3 × 37 × 33119
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,034,240
Proper Divisor Sum 1,358,031
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #3676201 ← → #3676213

Radix Representation

Decimal 3676209
Binary 1110000001100000110001 (22 bits)
Octal 0o16014061
Hexadecimal 0x381831

Divisor Catalog (8)

1 3 37 111 33,119 99,357 1,225,403 3,676,209

Collatz Trajectory (172 steps to reach 1)

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

3,676,209 11,028,628 5,514,314 2,757,157 8,271,472 4,135,736 2,067,868 1,033,934 516,967 1,550,902 775,451 2,326,354 1,163,177 3,489,532 1,744,766 872,383 2,617,150 1,308,575 3,925,726 1,962,863 5,888,590 2,944,295 8,832,886 4,416,443 13,249,330 6,624,665 19,873,996 9,936,998 4,968,499 14,905,498 7,452,749 22,358,248 11,179,124 5,589,562 2,794,781 8,384,344 4,192,172 2,096,086 1,048,043 3,144,130 1,572,065 4,716,196 2,358,098 1,179,049 3,537,148 1,768,574 884,287 2,652,862 1,326,431 3,979,294 1,989,647 5,968,942 2,984,471 8,953,414 4,476,707 13,430,122 6,715,061 20,145,184 10,072,592 5,036,296

More profiles

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