3,341,275

5² × 7 × 61 × 313

3,341,275 factors as 5^2 × 7 × 61 × 313. Its 24 positive divisors give a proper-divisor sum of 1,486,789, so this integer is deficient. The Collatz stopping time is 89 steps.

Prime Factor Structure

Factorization String 5^2 × 7 × 61 × 313

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 4,828,064

Proper Divisor Sum 1,486,789

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #3341269 ← → #3341281

Radix Representation

Decimal	3341275
Binary	1100101111101111011011 (22 bits)
Octal	0o14575733
Hexadecimal	0x32FBDB

Divisor Catalog (24)

1 5 7 25 35 61 175 305 313 427 1,525 1,565 2,135 2,191 7,825 10,675 10,955 19,093 54,775 95,465 133,651 477,325 668,255 3,341,275

Collatz Trajectory (89 steps to reach 1)

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

3,341,275 10,023,826 5,011,913 15,035,740 7,517,870 3,758,935 11,276,806 5,638,403 16,915,210 8,457,605 25,372,816 12,686,408 6,343,204 3,171,602 1,585,801 4,757,404 2,378,702 1,189,351 3,568,054 1,784,027 5,352,082 2,676,041 8,028,124 4,014,062 2,007,031 6,021,094 3,010,547 9,031,642 4,515,821 13,547,464 6,773,732 3,386,866 1,693,433 5,080,300 2,540,150 1,270,075 3,810,226 1,905,113 5,715,340 2,857,670 1,428,835 4,286,506 2,143,253 6,429,760 3,214,880 1,607,440 803,720 401,860 200,930 100,465 301,396 150,698 75,349 226,048 113,024 56,512 28,256 14,128 7,064 3,532

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