3,937,772

2² × 149 × 6607

3,937,772 factors as 2^2 × 149 × 6607. Its 12 positive divisors give a proper-divisor sum of 3,000,628, so this integer is deficient. The Collatz stopping time is 66 steps.

Prime Factor Structure

Factorization String 2^2 × 149 × 6607

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 6,938,400

Proper Divisor Sum 3,000,628

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #3937771 ← → #3937777

Radix Representation

Decimal	3937772
Binary	1111000001010111101100 (22 bits)
Octal	0o17012754
Hexadecimal	0x3C15EC

Divisor Catalog (12)

1 2 4 149 298 596 6,607 13,214 26,428 984,443 1,968,886 3,937,772

Collatz Trajectory (66 steps to reach 1)

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

3,937,772 1,968,886 984,443 2,953,330 1,476,665 4,429,996 2,214,998 1,107,499 3,322,498 1,661,249 4,983,748 2,491,874 1,245,937 3,737,812 1,868,906 934,453 2,803,360 1,401,680 700,840 350,420 175,210 87,605 262,816 131,408 65,704 32,852 16,426 8,213 24,640 12,320 6,160 3,080 1,540 770 385 1,156 578 289 868 434 217 652 326 163 490 245 736 368 184 92 46 23 70 35 106 53 160 80 40 20

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