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Atlas › Integer Profiles › Node 7,052,518

7,052,518

2 × 11 × 17 × 109 × 173
Deficient Even Composite

7,052,518 factors as 2 × 11 × 17 × 109 × 173. Its 32 positive divisors give a proper-divisor sum of 5,350,202, so this integer is deficient. The Collatz stopping time is 173 steps.

Prime Factor Structure

Factorization String 2 × 11 × 17 × 109 × 173
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 12,402,720
Proper Divisor Sum 5,350,202
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #7052503 ← → #7052519

Radix Representation

Decimal 7052518
Binary 11010111001110011100110 (23 bits)
Octal 0o32716346
Hexadecimal 0x6B9CE6

Divisor Catalog (32)

1 2 11 17 22 34 109 173 187 218 346 374 1,199 1,853 1,903 2,398 2,941 3,706 3,806 5,882 18,857 20,383 32,351 37,714 40,766 64,702 207,427 320,569 414,854 641,138 3,526,259 7,052,518

Collatz Trajectory (173 steps to reach 1)

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

7,052,518 3,526,259 10,578,778 5,289,389 15,868,168 7,934,084 3,967,042 1,983,521 5,950,564 2,975,282 1,487,641 4,462,924 2,231,462 1,115,731 3,347,194 1,673,597 5,020,792 2,510,396 1,255,198 627,599 1,882,798 941,399 2,824,198 1,412,099 4,236,298 2,118,149 6,354,448 3,177,224 1,588,612 794,306 397,153 1,191,460 595,730 297,865 893,596 446,798 223,399 670,198 335,099 1,005,298 502,649 1,507,948 753,974 376,987 1,130,962 565,481 1,696,444 848,222 424,111 1,272,334 636,167 1,908,502 954,251 2,862,754 1,431,377 4,294,132 2,147,066 1,073,533 3,220,600 1,610,300

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