5,752,017

3² × 67 × 9539

5,752,017 factors as 3^2 × 67 × 9539. Its 12 positive divisors give a proper-divisor sum of 2,681,343, so this integer is deficient. The Collatz stopping time is 121 steps.

Prime Factor Structure

Factorization String 3^2 × 67 × 9539

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 8,433,360

Proper Divisor Sum 2,681,343

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #5751997 ← → #5752031

Radix Representation

Decimal	5752017
Binary	10101111100010011010001 (23 bits)
Octal	0o25742321
Hexadecimal	0x57C4D1

Divisor Catalog (12)

1 3 9 67 201 603 9,539 28,617 85,851 639,113 1,917,339 5,752,017

Collatz Trajectory (121 steps to reach 1)

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

5,752,017 17,256,052 8,628,026 4,314,013 12,942,040 6,471,020 3,235,510 1,617,755 4,853,266 2,426,633 7,279,900 3,639,950 1,819,975 5,459,926 2,729,963 8,189,890 4,094,945 12,284,836 6,142,418 3,071,209 9,213,628 4,606,814 2,303,407 6,910,222 3,455,111 10,365,334 5,182,667 15,548,002 7,774,001 23,322,004 11,661,002 5,830,501 17,491,504 8,745,752 4,372,876 2,186,438 1,093,219 3,279,658 1,639,829 4,919,488 2,459,744 1,229,872 614,936 307,468 153,734 76,867 230,602 115,301 345,904 172,952 86,476 43,238 21,619 64,858 32,429 97,288 48,644 24,322 12,161 36,484

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