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Atlas › Integer Profiles › Node 6,135,084

6,135,084

22 × 32 × 193 × 883
Abundant Even Composite

6,135,084 factors as 2^2 × 3^2 × 193 × 883. Its 36 positive divisors give a proper-divisor sum of 9,471,052, so this integer is abundant. The Collatz stopping time is 103 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 193 × 883
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 15,606,136
Proper Divisor Sum 9,471,052
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #6135053 ← → #6135131

Radix Representation

Decimal 6135084
Binary 10111011001110100101100 (23 bits)
Octal 0o27316454
Hexadecimal 0x5D9D2C

Divisor Catalog (36)

1 2 3 4 6 9 12 18 36 193 386 579 772 883 1,158 1,737 1,766 2,316 2,649 3,474 3,532 5,298 6,948 7,947 10,596 15,894 31,788 170,419 340,838 511,257 681,676 1,022,514 1,533,771 2,045,028 3,067,542 6,135,084

Collatz Trajectory (103 steps to reach 1)

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

6,135,084 3,067,542 1,533,771 4,601,314 2,300,657 6,901,972 3,450,986 1,725,493 5,176,480 2,588,240 1,294,120 647,060 323,530 161,765 485,296 242,648 121,324 60,662 30,331 90,994 45,497 136,492 68,246 34,123 102,370 51,185 153,556 76,778 38,389 115,168 57,584 28,792 14,396 7,198 3,599 10,798 5,399 16,198 8,099 24,298 12,149 36,448 18,224 9,112 4,556 2,278 1,139 3,418 1,709 5,128 2,564 1,282 641 1,924 962 481 1,444 722 361 1,084

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