3,117,788

2² × 23 × 33889

3,117,788 factors as 2^2 × 23 × 33889. Its 12 positive divisors give a proper-divisor sum of 2,575,732, so this integer is deficient. The Collatz stopping time is 151 steps.

Prime Factor Structure

Factorization String 2^2 × 23 × 33889

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 5,693,520

Proper Divisor Sum 2,575,732

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #3117787 ← → #3117791

Radix Representation

Decimal	3117788
Binary	1011111001001011011100 (22 bits)
Octal	0o13711334
Hexadecimal	0x2F92DC

Divisor Catalog (12)

1 2 4 23 46 92 33,889 67,778 135,556 779,447 1,558,894 3,117,788

Collatz Trajectory (151 steps to reach 1)

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

3,117,788 1,558,894 779,447 2,338,342 1,169,171 3,507,514 1,753,757 5,261,272 2,630,636 1,315,318 657,659 1,972,978 986,489 2,959,468 1,479,734 739,867 2,219,602 1,109,801 3,329,404 1,664,702 832,351 2,497,054 1,248,527 3,745,582 1,872,791 5,618,374 2,809,187 8,427,562 4,213,781 12,641,344 6,320,672 3,160,336 1,580,168 790,084 395,042 197,521 592,564 296,282 148,141 444,424 222,212 111,106 55,553 166,660 83,330 41,665 124,996 62,498 31,249 93,748 46,874 23,437 70,312 35,156 17,578 8,789 26,368 13,184 6,592 3,296

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