λ
Sigma Notebook

2,080,484

22 × 7 × 67 × 1109
Abundant Even Composite

2,080,484 is even and not a perfect square. Its factorization is 2^2 × 7 × 67 × 1109 and its 24 divisors sum to 4,226,880.

Prime Factor Structure

Factorization String 2^2 × 7 × 67 × 1109
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 4,226,880
Proper Divisor Sum 2,146,396
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #2080453 ← → #2080501

Radix Representation

Decimal 2080484
Binary 111111011111011100100 (21 bits)
Octal 0o7737344
Hexadecimal 0x1FBEE4

Divisor Catalog (24)

1 2 4 7 14 28 67 134 268 469 938 1,109 1,876 2,218 4,436 7,763 15,526 31,052 74,303 148,606 297,212 520,121 1,040,242 2,080,484

Collatz Trajectory (158 steps to reach 1)

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

2,080,484 1,040,242 520,121 1,560,364 780,182 390,091 1,170,274 585,137 1,755,412 877,706 438,853 1,316,560 658,280 329,140 164,570 82,285 246,856 123,428 61,714 30,857 92,572 46,286 23,143 69,430 34,715 104,146 52,073 156,220 78,110 39,055 117,166 58,583 175,750 87,875 263,626 131,813 395,440 197,720 98,860 49,430 24,715 74,146 37,073 111,220 55,610 27,805 83,416 41,708 20,854 10,427 31,282 15,641 46,924 23,462 11,731 35,194 17,597 52,792 26,396 13,198

More profiles

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