4,031,332

2² × 107 × 9419

4,031,332 factors as 2^2 × 107 × 9419. Its 12 positive divisors give a proper-divisor sum of 3,090,188, so this integer is deficient. The Collatz stopping time is 92 steps.

Prime Factor Structure

Factorization String 2^2 × 107 × 9419

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 7,121,520

Proper Divisor Sum 3,090,188

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #4031327 ← → #4031347

Radix Representation

Decimal	4031332
Binary	1111011000001101100100 (22 bits)
Octal	0o17301544
Hexadecimal	0x3D8364

Divisor Catalog (12)

1 2 4 107 214 428 9,419 18,838 37,676 1,007,833 2,015,666 4,031,332

Collatz Trajectory (92 steps to reach 1)

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

4,031,332 2,015,666 1,007,833 3,023,500 1,511,750 755,875 2,267,626 1,133,813 3,401,440 1,700,720 850,360 425,180 212,590 106,295 318,886 159,443 478,330 239,165 717,496 358,748 179,374 89,687 269,062 134,531 403,594 201,797 605,392 302,696 151,348 75,674 37,837 113,512 56,756 28,378 14,189 42,568 21,284 10,642 5,321 15,964 7,982 3,991 11,974 5,987 17,962 8,981 26,944 13,472 6,736 3,368 1,684 842 421 1,264 632 316 158 79 238 119

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