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Atlas › Integer Profiles › Node 6,074,547

6,074,547

3 × 192 × 71 × 79
Deficient Odd Composite

6,074,547 factors as 3 × 19^2 × 71 × 79. Its 24 positive divisors give a proper-divisor sum of 2,703,693, so this integer is deficient. The Collatz stopping time is 134 steps.

Prime Factor Structure

Factorization String 3 × 19^2 × 71 × 79
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 8,778,240
Proper Divisor Sum 2,703,693
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #6074539 ← → #6074561

Radix Representation

Decimal 6074547
Binary 10111001011000010110011 (23 bits)
Octal 0o27130263
Hexadecimal 0x5CB0B3

Divisor Catalog (24)

1 3 19 57 71 79 213 237 361 1,083 1,349 1,501 4,047 4,503 5,609 16,827 25,631 28,519 76,893 85,557 106,571 319,713 2,024,849 6,074,547

Collatz Trajectory (134 steps to reach 1)

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

6,074,547 18,223,642 9,111,821 27,335,464 13,667,732 6,833,866 3,416,933 10,250,800 5,125,400 2,562,700 1,281,350 640,675 1,922,026 961,013 2,883,040 1,441,520 720,760 360,380 180,190 90,095 270,286 135,143 405,430 202,715 608,146 304,073 912,220 456,110 228,055 684,166 342,083 1,026,250 513,125 1,539,376 769,688 384,844 192,422 96,211 288,634 144,317 432,952 216,476 108,238 54,119 162,358 81,179 243,538 121,769 365,308 182,654 91,327 273,982 136,991 410,974 205,487 616,462 308,231 924,694 462,347 1,387,042

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