3,987,902

2 × 31 × 131 × 491

3,987,902 factors as 2 × 31 × 131 × 491. Its 16 positive divisors give a proper-divisor sum of 2,246,722, so this integer is deficient. The Collatz stopping time is 154 steps.

Prime Factor Structure

Factorization String 2 × 31 × 131 × 491

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,234,624

Proper Divisor Sum 2,246,722

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #3987887 ← → #3987913

Radix Representation

Decimal	3987902
Binary	1111001101100110111110 (22 bits)
Octal	0o17154676
Hexadecimal	0x3CD9BE

Divisor Catalog (16)

1 2 31 62 131 262 491 982 4,061 8,122 15,221 30,442 64,321 128,642 1,993,951 3,987,902

Collatz Trajectory (154 steps to reach 1)

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

3,987,902 1,993,951 5,981,854 2,990,927 8,972,782 4,486,391 13,459,174 6,729,587 20,188,762 10,094,381 30,283,144 15,141,572 7,570,786 3,785,393 11,356,180 5,678,090 2,839,045 8,517,136 4,258,568 2,129,284 1,064,642 532,321 1,596,964 798,482 399,241 1,197,724 598,862 299,431 898,294 449,147 1,347,442 673,721 2,021,164 1,010,582 505,291 1,515,874 757,937 2,273,812 1,136,906 568,453 1,705,360 852,680 426,340 213,170 106,585 319,756 159,878 79,939 239,818 119,909 359,728 179,864 89,932 44,966 22,483 67,450 33,725 101,176 50,588 25,294

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