λ
Matchaa Zalai

6,011,420

22 × 5 × 41 × 7331
Abundant Even Composite

6,011,420 factors as 2^2 × 5 × 41 × 7331. Its 24 positive divisors give a proper-divisor sum of 6,922,228, so this integer is abundant. The Collatz stopping time is 214 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 41 × 7331
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 12,933,648
Proper Divisor Sum 6,922,228
Digit Sum / Digital Root 14 (Root: 5)
Adjacent Primes #6011417 ← → #6011449

Radix Representation

Decimal 6011420
Binary 10110111011101000011100 (23 bits)
Octal 0o26735034
Hexadecimal 0x5BBA1C

Divisor Catalog (24)

1 2 4 5 10 20 41 82 164 205 410 820 7,331 14,662 29,324 36,655 73,310 146,620 300,571 601,142 1,202,284 1,502,855 3,005,710 6,011,420

Collatz Trajectory (214 steps to reach 1)

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

6,011,420 3,005,710 1,502,855 4,508,566 2,254,283 6,762,850 3,381,425 10,144,276 5,072,138 2,536,069 7,608,208 3,804,104 1,902,052 951,026 475,513 1,426,540 713,270 356,635 1,069,906 534,953 1,604,860 802,430 401,215 1,203,646 601,823 1,805,470 902,735 2,708,206 1,354,103 4,062,310 2,031,155 6,093,466 3,046,733 9,140,200 4,570,100 2,285,050 1,142,525 3,427,576 1,713,788 856,894 428,447 1,285,342 642,671 1,928,014 964,007 2,892,022 1,446,011 4,338,034 2,169,017 6,507,052 3,253,526 1,626,763 4,880,290 2,440,145 7,320,436 3,660,218 1,830,109 5,490,328 2,745,164 1,372,582

More profiles

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