4,135,041

3² × 101 × 4549

4,135,041 factors as 3^2 × 101 × 4549. Its 12 positive divisors give a proper-divisor sum of 1,898,259, so this integer is deficient. The Collatz stopping time is 198 steps.

Prime Factor Structure

Factorization String 3^2 × 101 × 4549

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 6,033,300

Proper Divisor Sum 1,898,259

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #4135037 ← → #4135049

Radix Representation

Decimal	4135041
Binary	1111110001100010000001 (22 bits)
Octal	0o17614201
Hexadecimal	0x3F1881

Divisor Catalog (12)

1 3 9 101 303 909 4,549 13,647 40,941 459,449 1,378,347 4,135,041

Collatz Trajectory (198 steps to reach 1)

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

4,135,041 12,405,124 6,202,562 3,101,281 9,303,844 4,651,922 2,325,961 6,977,884 3,488,942 1,744,471 5,233,414 2,616,707 7,850,122 3,925,061 11,775,184 5,887,592 2,943,796 1,471,898 735,949 2,207,848 1,103,924 551,962 275,981 827,944 413,972 206,986 103,493 310,480 155,240 77,620 38,810 19,405 58,216 29,108 14,554 7,277 21,832 10,916 5,458 2,729 8,188 4,094 2,047 6,142 3,071 9,214 4,607 13,822 6,911 20,734 10,367 31,102 15,551 46,654 23,327 69,982 34,991 104,974 52,487 157,462

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