λ
Prime Ledger

2,164,986

2 × 32 × 120277
Abundant Even Composite

2,164,986 has the prime decomposition 2 × 3^2 × 120277. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 120277
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 4,690,842
Proper Divisor Sum 2,525,856
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #2164979 ← → #2164991

Radix Representation

Decimal 2164986
Binary 1000010000100011111010 (22 bits)
Octal 0o10204372
Hexadecimal 0x2108FA

Divisor Catalog (12)

1 2 3 6 9 18 120,277 240,554 360,831 721,662 1,082,493 2,164,986

Collatz Trajectory (210 steps to reach 1)

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

2,164,986 1,082,493 3,247,480 1,623,740 811,870 405,935 1,217,806 608,903 1,826,710 913,355 2,740,066 1,370,033 4,110,100 2,055,050 1,027,525 3,082,576 1,541,288 770,644 385,322 192,661 577,984 288,992 144,496 72,248 36,124 18,062 9,031 27,094 13,547 40,642 20,321 60,964 30,482 15,241 45,724 22,862 11,431 34,294 17,147 51,442 25,721 77,164 38,582 19,291 57,874 28,937 86,812 43,406 21,703 65,110 32,555 97,666 48,833 146,500 73,250 36,625 109,876 54,938 27,469 82,408

More profiles

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