3,121,275

3 × 5² × 41617

3,121,275 factors as 3 × 5^2 × 41617. Its 12 positive divisors give a proper-divisor sum of 2,039,357, so this integer is deficient. The Collatz stopping time is 301 steps.

Prime Factor Structure

Factorization String 3 × 5^2 × 41617

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 5,160,632

Proper Divisor Sum 2,039,357

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #3121273 ← → #3121291

Radix Representation

Decimal	3121275
Binary	1011111010000001111011 (22 bits)
Octal	0o13720173
Hexadecimal	0x2FA07B

Divisor Catalog (12)

1 3 5 15 25 75 41,617 124,851 208,085 624,255 1,040,425 3,121,275

Collatz Trajectory (301 steps to reach 1)

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

3,121,275 9,363,826 4,681,913 14,045,740 7,022,870 3,511,435 10,534,306 5,267,153 15,801,460 7,900,730 3,950,365 11,851,096 5,925,548 2,962,774 1,481,387 4,444,162 2,222,081 6,666,244 3,333,122 1,666,561 4,999,684 2,499,842 1,249,921 3,749,764 1,874,882 937,441 2,812,324 1,406,162 703,081 2,109,244 1,054,622 527,311 1,581,934 790,967 2,372,902 1,186,451 3,559,354 1,779,677 5,339,032 2,669,516 1,334,758 667,379 2,002,138 1,001,069 3,003,208 1,501,604 750,802 375,401 1,126,204 563,102 281,551 844,654 422,327 1,266,982 633,491 1,900,474 950,237 2,850,712 1,425,356 712,678

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