λ
Sigma Notebook

7,243,863

3 × 11 × 31 × 73 × 97
Deficient Odd Composite

7,243,863 is odd and not a perfect square. Its factorization is 3 × 11 × 31 × 73 × 97 and its 32 divisors sum to 11,139,072.

Prime Factor Structure

Factorization String 3 × 11 × 31 × 73 × 97
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 11,139,072
Proper Divisor Sum 3,895,209
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #7243861 ← → #7243867

Radix Representation

Decimal 7243863
Binary 11011101000100001010111 (23 bits)
Octal 0o33504127
Hexadecimal 0x6E8857

Divisor Catalog (32)

1 3 11 31 33 73 93 97 219 291 341 803 1,023 1,067 2,263 2,409 3,007 3,201 6,789 7,081 9,021 21,243 24,893 33,077 74,679 77,891 99,231 219,511 233,673 658,533 2,414,621 7,243,863

Collatz Trajectory (147 steps to reach 1)

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

7,243,863 21,731,590 10,865,795 32,597,386 16,298,693 48,896,080 24,448,040 12,224,020 6,112,010 3,056,005 9,168,016 4,584,008 2,292,004 1,146,002 573,001 1,719,004 859,502 429,751 1,289,254 644,627 1,933,882 966,941 2,900,824 1,450,412 725,206 362,603 1,087,810 543,905 1,631,716 815,858 407,929 1,223,788 611,894 305,947 917,842 458,921 1,376,764 688,382 344,191 1,032,574 516,287 1,548,862 774,431 2,323,294 1,161,647 3,484,942 1,742,471 5,227,414 2,613,707 7,841,122 3,920,561 11,761,684 5,880,842 2,940,421 8,821,264 4,410,632 2,205,316 1,102,658 551,329 1,653,988

More profiles

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