λ
Ratio Atlas

4,211,187

3 × 149 × 9421
Deficient Odd Composite

4,211,187 factors as 3 × 149 × 9421. Its 8 positive divisors give a proper-divisor sum of 1,442,013, so this integer is deficient. The Collatz stopping time is 128 steps.

Prime Factor Structure

Factorization String 3 × 149 × 9421
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,653,200
Proper Divisor Sum 1,442,013
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #4211173 ← → #4211203

Radix Representation

Decimal 4211187
Binary 10000000100000111110011 (23 bits)
Octal 0o20040763
Hexadecimal 0x4041F3

Divisor Catalog (8)

1 3 149 447 9,421 28,263 1,403,729 4,211,187

Collatz Trajectory (128 steps to reach 1)

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

4,211,187 12,633,562 6,316,781 18,950,344 9,475,172 4,737,586 2,368,793 7,106,380 3,553,190 1,776,595 5,329,786 2,664,893 7,994,680 3,997,340 1,998,670 999,335 2,998,006 1,499,003 4,497,010 2,248,505 6,745,516 3,372,758 1,686,379 5,059,138 2,529,569 7,588,708 3,794,354 1,897,177 5,691,532 2,845,766 1,422,883 4,268,650 2,134,325 6,402,976 3,201,488 1,600,744 800,372 400,186 200,093 600,280 300,140 150,070 75,035 225,106 112,553 337,660 168,830 84,415 253,246 126,623 379,870 189,935 569,806 284,903 854,710 427,355 1,282,066 641,033 1,923,100 961,550

More profiles

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