λ
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Atlas › Integer Profiles › Node 3,987,291

3,987,291

3 × 7 × 11 × 41 × 421
Deficient Odd Composite

3,987,291 factors as 3 × 7 × 11 × 41 × 421. Its 32 positive divisors give a proper-divisor sum of 2,818,725, so this integer is deficient. The Collatz stopping time is 229 steps.

Prime Factor Structure

Factorization String 3 × 7 × 11 × 41 × 421
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,806,016
Proper Divisor Sum 2,818,725
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #3987287 ← → #3987301

Radix Representation

Decimal 3987291
Binary 1111001101011101011011 (22 bits)
Octal 0o17153533
Hexadecimal 0x3CD75B

Divisor Catalog (32)

1 3 7 11 21 33 41 77 123 231 287 421 451 861 1,263 1,353 2,947 3,157 4,631 8,841 9,471 13,893 17,261 32,417 51,783 97,251 120,827 189,871 362,481 569,613 1,329,097 3,987,291

Collatz Trajectory (229 steps to reach 1)

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

3,987,291 11,961,874 5,980,937 17,942,812 8,971,406 4,485,703 13,457,110 6,728,555 20,185,666 10,092,833 30,278,500 15,139,250 7,569,625 22,708,876 11,354,438 5,677,219 17,031,658 8,515,829 25,547,488 12,773,744 6,386,872 3,193,436 1,596,718 798,359 2,395,078 1,197,539 3,592,618 1,796,309 5,388,928 2,694,464 1,347,232 673,616 336,808 168,404 84,202 42,101 126,304 63,152 31,576 15,788 7,894 3,947 11,842 5,921 17,764 8,882 4,441 13,324 6,662 3,331 9,994 4,997 14,992 7,496 3,748 1,874 937 2,812 1,406 703

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