3,276,975

3 × 5² × 13 × 3361

3,276,975 factors as 3 × 5^2 × 13 × 3361. Its 24 positive divisors give a proper-divisor sum of 2,559,457, so this integer is deficient. The Collatz stopping time is 146 steps.

Prime Factor Structure

Factorization String 3 × 5^2 × 13 × 3361

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 5,836,432

Proper Divisor Sum 2,559,457

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #3276967 ← → #3276983

Radix Representation

Decimal	3276975
Binary	1100100000000010101111 (22 bits)
Octal	0o14400257
Hexadecimal	0x3200AF

Divisor Catalog (24)

Collatz Trajectory (146 steps to reach 1)

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

3,276,975 9,830,926 4,915,463 14,746,390 7,373,195 22,119,586 11,059,793 33,179,380 16,589,690 8,294,845 24,884,536 12,442,268 6,221,134 3,110,567 9,331,702 4,665,851 13,997,554 6,998,777 20,996,332 10,498,166 5,249,083 15,747,250 7,873,625 23,620,876 11,810,438 5,905,219 17,715,658 8,857,829 26,573,488 13,286,744 6,643,372 3,321,686 1,660,843 4,982,530 2,491,265 7,473,796 3,736,898 1,868,449 5,605,348 2,802,674 1,401,337 4,204,012 2,102,006 1,051,003 3,153,010 1,576,505 4,729,516 2,364,758 1,182,379 3,547,138 1,773,569 5,320,708 2,660,354 1,330,177 3,990,532 1,995,266 997,633 2,992,900 1,496,450 748,225

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