3,957,005

5 × 13 × 17 × 3581

3,957,005 factors as 5 × 13 × 17 × 3581. Its 16 positive divisors give a proper-divisor sum of 1,458,979, so this integer is deficient. The Collatz stopping time is 97 steps.

Prime Factor Structure

Factorization String 5 × 13 × 17 × 3581

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 5,415,984

Proper Divisor Sum 1,458,979

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #3956999 ← → #3957007

Radix Representation

Decimal	3957005
Binary	1111000110000100001101 (22 bits)
Octal	0o17060415
Hexadecimal	0x3C610D

Divisor Catalog (16)

1 5 13 17 65 85 221 1,105 3,581 17,905 46,553 60,877 232,765 304,385 791,401 3,957,005

Collatz Trajectory (97 steps to reach 1)

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

3,957,005 11,871,016 5,935,508 2,967,754 1,483,877 4,451,632 2,225,816 1,112,908 556,454 278,227 834,682 417,341 1,252,024 626,012 313,006 156,503 469,510 234,755 704,266 352,133 1,056,400 528,200 264,100 132,050 66,025 198,076 99,038 49,519 148,558 74,279 222,838 111,419 334,258 167,129 501,388 250,694 125,347 376,042 188,021 564,064 282,032 141,016 70,508 35,254 17,627 52,882 26,441 79,324 39,662 19,831 59,494 29,747 89,242 44,621 133,864 66,932 33,466 16,733 50,200 25,100

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