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Atlas › Integer Profiles › Node 6,042,231

6,042,231

32 × 13 × 43 × 1201
Deficient Odd Composite

6,042,231 factors as 3^2 × 13 × 43 × 1201. Its 24 positive divisors give a proper-divisor sum of 3,583,385, so this integer is deficient. The Collatz stopping time is 134 steps.

Prime Factor Structure

Factorization String 3^2 × 13 × 43 × 1201
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 9,625,616
Proper Divisor Sum 3,583,385
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #6042229 ← → #6042263

Radix Representation

Decimal 6042231
Binary 10111000011001001110111 (23 bits)
Octal 0o27031167
Hexadecimal 0x5C3277

Divisor Catalog (24)

1 3 9 13 39 43 117 129 387 559 1,201 1,677 3,603 5,031 10,809 15,613 46,839 51,643 140,517 154,929 464,787 671,359 2,014,077 6,042,231

Collatz Trajectory (134 steps to reach 1)

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

6,042,231 18,126,694 9,063,347 27,190,042 13,595,021 40,785,064 20,392,532 10,196,266 5,098,133 15,294,400 7,647,200 3,823,600 1,911,800 955,900 477,950 238,975 716,926 358,463 1,075,390 537,695 1,613,086 806,543 2,419,630 1,209,815 3,629,446 1,814,723 5,444,170 2,722,085 8,166,256 4,083,128 2,041,564 1,020,782 510,391 1,531,174 765,587 2,296,762 1,148,381 3,445,144 1,722,572 861,286 430,643 1,291,930 645,965 1,937,896 968,948 484,474 242,237 726,712 363,356 181,678 90,839 272,518 136,259 408,778 204,389 613,168 306,584 153,292 76,646 38,323

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