3,937,675

5² × 7 × 22501

3,937,675 factors as 5^2 × 7 × 22501. Its 12 positive divisors give a proper-divisor sum of 1,642,821, so this integer is deficient. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 5^2 × 7 × 22501

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 5,580,496

Proper Divisor Sum 1,642,821

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #3937673 ← → #3937679

Radix Representation

Decimal	3937675
Binary	1111000001010110001011 (22 bits)
Octal	0o17012613
Hexadecimal	0x3C158B

Divisor Catalog (12)

1 5 7 25 35 175 22,501 112,505 157,507 562,525 787,535 3,937,675

Collatz Trajectory (123 steps to reach 1)

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

3,937,675 11,813,026 5,906,513 17,719,540 8,859,770 4,429,885 13,289,656 6,644,828 3,322,414 1,661,207 4,983,622 2,491,811 7,475,434 3,737,717 11,213,152 5,606,576 2,803,288 1,401,644 700,822 350,411 1,051,234 525,617 1,576,852 788,426 394,213 1,182,640 591,320 295,660 147,830 73,915 221,746 110,873 332,620 166,310 83,155 249,466 124,733 374,200 187,100 93,550 46,775 140,326 70,163 210,490 105,245 315,736 157,868 78,934 39,467 118,402 59,201 177,604 88,802 44,401 133,204 66,602 33,301 99,904 49,952 24,976

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