λ
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2,109,486

2 × 3 × 592 × 101
Abundant Even Composite

2,109,486 factors as 2 × 3 × 59^2 × 101. Its 24 positive divisors give a proper-divisor sum of 2,224,698, so this integer is abundant. The Collatz stopping time is 104 steps.

Prime Factor Structure

Factorization String 2 × 3 × 59^2 × 101
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 4,334,184
Proper Divisor Sum 2,224,698
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2109461 ← → #2109509

Radix Representation

Decimal 2109486
Binary 1000000011000000101110 (22 bits)
Octal 0o10030056
Hexadecimal 0x20302E

Divisor Catalog (24)

1 2 3 6 59 101 118 177 202 303 354 606 3,481 5,959 6,962 10,443 11,918 17,877 20,886 35,754 351,581 703,162 1,054,743 2,109,486

Collatz Trajectory (104 steps to reach 1)

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

2,109,486 1,054,743 3,164,230 1,582,115 4,746,346 2,373,173 7,119,520 3,559,760 1,779,880 889,940 444,970 222,485 667,456 333,728 166,864 83,432 41,716 20,858 10,429 31,288 15,644 7,822 3,911 11,734 5,867 17,602 8,801 26,404 13,202 6,601 19,804 9,902 4,951 14,854 7,427 22,282 11,141 33,424 16,712 8,356 4,178 2,089 6,268 3,134 1,567 4,702 2,351 7,054 3,527 10,582 5,291 15,874 7,937 23,812 11,906 5,953 17,860 8,930 4,465 13,396

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