λ
Prime Ledger

2,662,290

2 × 32 × 5 × 29581
Abundant Even Composite

2,662,290 has the prime decomposition 2 × 3^2 × 5 × 29581. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 29581
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 6,922,188
Proper Divisor Sum 4,259,898
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2662271 ← → #2662291

Radix Representation

Decimal 2662290
Binary 1010001001111110010010 (22 bits)
Octal 0o12117622
Hexadecimal 0x289F92

Divisor Catalog (24)

1 2 3 5 6 9 10 15 18 30 45 90 29,581 59,162 88,743 147,905 177,486 266,229 295,810 443,715 532,458 887,430 1,331,145 2,662,290

Collatz Trajectory (117 steps to reach 1)

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

2,662,290 1,331,145 3,993,436 1,996,718 998,359 2,995,078 1,497,539 4,492,618 2,246,309 6,738,928 3,369,464 1,684,732 842,366 421,183 1,263,550 631,775 1,895,326 947,663 2,842,990 1,421,495 4,264,486 2,132,243 6,396,730 3,198,365 9,595,096 4,797,548 2,398,774 1,199,387 3,598,162 1,799,081 5,397,244 2,698,622 1,349,311 4,047,934 2,023,967 6,071,902 3,035,951 9,107,854 4,553,927 13,661,782 6,830,891 20,492,674 10,246,337 30,739,012 15,369,506 7,684,753 23,054,260 11,527,130 5,763,565 17,290,696 8,645,348 4,322,674 2,161,337 6,484,012 3,242,006 1,621,003 4,863,010 2,431,505 7,294,516 3,647,258

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