3,982,188

2² × 3 × 7 × 47407

3,982,188 has digital root 3. The neighboring primes are 3982183 and 3982201; its proper-divisor sum differs from the starting integer by 2,655,016.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 47407

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 10,619,392

Proper Divisor Sum 6,637,204

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #3982183 ← → #3982201

Radix Representation

Decimal	3982188
Binary	1111001100001101101100 (22 bits)
Octal	0o17141554
Hexadecimal	0x3CC36C

Divisor Catalog (24)

1 2 3 4 6 7 12 14 21 28 42 84 47,407 94,814 142,221 189,628 284,442 331,849 568,884 663,698 995,547 1,327,396 1,991,094 3,982,188

Collatz Trajectory (291 steps to reach 1)

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

3,982,188 1,991,094 995,547 2,986,642 1,493,321 4,479,964 2,239,982 1,119,991 3,359,974 1,679,987 5,039,962 2,519,981 7,559,944 3,779,972 1,889,986 944,993 2,834,980 1,417,490 708,745 2,126,236 1,063,118 531,559 1,594,678 797,339 2,392,018 1,196,009 3,588,028 1,794,014 897,007 2,691,022 1,345,511 4,036,534 2,018,267 6,054,802 3,027,401 9,082,204 4,541,102 2,270,551 6,811,654 3,405,827 10,217,482 5,108,741 15,326,224 7,663,112 3,831,556 1,915,778 957,889 2,873,668 1,436,834 718,417 2,155,252 1,077,626 538,813 1,616,440 808,220 404,110 202,055 606,166 303,083 909,250

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