λ
Sigma Notebook

4,536,243

34 × 56003
Deficient Odd Composite

4,536,243 is odd and not a perfect square. Its factorization is 3^4 × 56003 and its 10 divisors sum to 6,776,484.

Prime Factor Structure

Factorization String 3^4 × 56003
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 10
Divisor Sum (σ) 6,776,484
Proper Divisor Sum 2,240,241
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4536179 ← → #4536283

Radix Representation

Decimal 4536243
Binary 10001010011011110110011 (23 bits)
Octal 0o21233663
Hexadecimal 0x4537B3

Divisor Catalog (10)

1 3 9 27 81 56,003 168,009 504,027 1,512,081 4,536,243

Collatz Trajectory (87 steps to reach 1)

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

4,536,243 13,608,730 6,804,365 20,413,096 10,206,548 5,103,274 2,551,637 7,654,912 3,827,456 1,913,728 956,864 478,432 239,216 119,608 59,804 29,902 14,951 44,854 22,427 67,282 33,641 100,924 50,462 25,231 75,694 37,847 113,542 56,771 170,314 85,157 255,472 127,736 63,868 31,934 15,967 47,902 23,951 71,854 35,927 107,782 53,891 161,674 80,837 242,512 121,256 60,628 30,314 15,157 45,472 22,736 11,368 5,684 2,842 1,421 4,264 2,132 1,066 533 1,600 800

More profiles

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