3,947,009

11 × 17 × 21107

3,947,009 factors as 11 × 17 × 21107. Its 8 positive divisors give a proper-divisor sum of 612,319, so this integer is deficient. The Collatz stopping time is 172 steps.

Prime Factor Structure

Factorization String 11 × 17 × 21107

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 4,559,328

Proper Divisor Sum 612,319

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #3946997 ← → #3947017

Radix Representation

Decimal	3947009
Binary	1111000011101000000001 (22 bits)
Octal	0o17035001
Hexadecimal	0x3C3A01

Divisor Catalog (8)

1 11 17 187 21,107 232,177 358,819 3,947,009

Collatz Trajectory (172 steps to reach 1)

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

3,947,009 11,841,028 5,920,514 2,960,257 8,880,772 4,440,386 2,220,193 6,660,580 3,330,290 1,665,145 4,995,436 2,497,718 1,248,859 3,746,578 1,873,289 5,619,868 2,809,934 1,404,967 4,214,902 2,107,451 6,322,354 3,161,177 9,483,532 4,741,766 2,370,883 7,112,650 3,556,325 10,668,976 5,334,488 2,667,244 1,333,622 666,811 2,000,434 1,000,217 3,000,652 1,500,326 750,163 2,250,490 1,125,245 3,375,736 1,687,868 843,934 421,967 1,265,902 632,951 1,898,854 949,427 2,848,282 1,424,141 4,272,424 2,136,212 1,068,106 534,053 1,602,160 801,080 400,540 200,270 100,135 300,406 150,203

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