λ
Sigma Notebook

4,636,191

3 × 7 × 220771
Deficient Odd Composite

4,636,191 is odd and not a perfect square. Its factorization is 3 × 7 × 220771 and its 8 divisors sum to 7,064,704.

Prime Factor Structure

Factorization String 3 × 7 × 220771
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,064,704
Proper Divisor Sum 2,428,513
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #4636169 ← → #4636207

Radix Representation

Decimal 4636191
Binary 10001101011111000011111 (23 bits)
Octal 0o21537037
Hexadecimal 0x46BE1F

Divisor Catalog (8)

1 3 7 21 220,771 662,313 1,545,397 4,636,191

Collatz Trajectory (330 steps to reach 1)

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

4,636,191 13,908,574 6,954,287 20,862,862 10,431,431 31,294,294 15,647,147 46,941,442 23,470,721 70,412,164 35,206,082 17,603,041 52,809,124 26,404,562 13,202,281 39,606,844 19,803,422 9,901,711 29,705,134 14,852,567 44,557,702 22,278,851 66,836,554 33,418,277 100,254,832 50,127,416 25,063,708 12,531,854 6,265,927 18,797,782 9,398,891 28,196,674 14,098,337 42,295,012 21,147,506 10,573,753 31,721,260 15,860,630 7,930,315 23,790,946 11,895,473 35,686,420 17,843,210 8,921,605 26,764,816 13,382,408 6,691,204 3,345,602 1,672,801 5,018,404 2,509,202 1,254,601 3,763,804 1,881,902 940,951 2,822,854 1,411,427 4,234,282 2,117,141 6,351,424

More profiles

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