3,975,775

5² × 109 × 1459

3,975,775 factors as 5^2 × 109 × 1459. Its 12 positive divisors give a proper-divisor sum of 1,002,825, so this integer is deficient. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 5^2 × 109 × 1459

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 4,978,600

Proper Divisor Sum 1,002,825

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #3975749 ← → #3975779

Radix Representation

Decimal	3975775
Binary	1111001010101001011111 (22 bits)
Octal	0o17125137
Hexadecimal	0x3CAA5F

Divisor Catalog (12)

1 5 25 109 545 1,459 2,725 7,295 36,475 159,031 795,155 3,975,775

Collatz Trajectory (123 steps to reach 1)

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

3,975,775 11,927,326 5,963,663 17,890,990 8,945,495 26,836,486 13,418,243 40,254,730 20,127,365 60,382,096 30,191,048 15,095,524 7,547,762 3,773,881 11,321,644 5,660,822 2,830,411 8,491,234 4,245,617 12,736,852 6,368,426 3,184,213 9,552,640 4,776,320 2,388,160 1,194,080 597,040 298,520 149,260 74,630 37,315 111,946 55,973 167,920 83,960 41,980 20,990 10,495 31,486 15,743 47,230 23,615 70,846 35,423 106,270 53,135 159,406 79,703 239,110 119,555 358,666 179,333 538,000 269,000 134,500 67,250 33,625 100,876 50,438 25,219

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