3,960,682

2 × 11 × 41 × 4391

3,960,682 factors as 2 × 11 × 41 × 4391. Its 16 positive divisors give a proper-divisor sum of 2,680,022, so this integer is deficient. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 2 × 11 × 41 × 4391

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,640,704

Proper Divisor Sum 2,680,022

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #3960673 ← → #3960689

Radix Representation

Decimal	3960682
Binary	1111000110111101101010 (22 bits)
Octal	0o17067552
Hexadecimal	0x3C6F6A

Divisor Catalog (16)

1 2 11 22 41 82 451 902 4,391 8,782 48,301 96,602 180,031 360,062 1,980,341 3,960,682

Collatz Trajectory (123 steps to reach 1)

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

3,960,682 1,980,341 5,941,024 2,970,512 1,485,256 742,628 371,314 185,657 556,972 278,486 139,243 417,730 208,865 626,596 313,298 156,649 469,948 234,974 117,487 352,462 176,231 528,694 264,347 793,042 396,521 1,189,564 594,782 297,391 892,174 446,087 1,338,262 669,131 2,007,394 1,003,697 3,011,092 1,505,546 752,773 2,258,320 1,129,160 564,580 282,290 141,145 423,436 211,718 105,859 317,578 158,789 476,368 238,184 119,092 59,546 29,773 89,320 44,660 22,330 11,165 33,496 16,748 8,374 4,187

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