λ
Prime Ledger

3,086,082

2 × 32 × 171449
Abundant Even Composite

3,086,082 has the prime decomposition 2 × 3^2 × 171449. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 171449
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 6,686,550
Proper Divisor Sum 3,600,468
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3086077 ← → #3086089

Radix Representation

Decimal 3086082
Binary 1011110001011100000010 (22 bits)
Octal 0o13613402
Hexadecimal 0x2F1702

Divisor Catalog (12)

1 2 3 6 9 18 171,449 342,898 514,347 1,028,694 1,543,041 3,086,082

Collatz Trajectory (76 steps to reach 1)

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

3,086,082 1,543,041 4,629,124 2,314,562 1,157,281 3,471,844 1,735,922 867,961 2,603,884 1,301,942 650,971 1,952,914 976,457 2,929,372 1,464,686 732,343 2,197,030 1,098,515 3,295,546 1,647,773 4,943,320 2,471,660 1,235,830 617,915 1,853,746 926,873 2,780,620 1,390,310 695,155 2,085,466 1,042,733 3,128,200 1,564,100 782,050 391,025 1,173,076 586,538 293,269 879,808 439,904 219,952 109,976 54,988 27,494 13,747 41,242 20,621 61,864 30,932 15,466 7,733 23,200 11,600 5,800 2,900 1,450 725 2,176 1,088 544

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