λ
Ratio Atlas

2,542,542

2 × 3 × 19 × 22303
Abundant Even Composite

2,542,542 factors as 2 × 3 × 19 × 22303. Its 16 positive divisors give a proper-divisor sum of 2,810,418, so this integer is abundant. The Collatz stopping time is 249 steps.

Prime Factor Structure

Factorization String 2 × 3 × 19 × 22303
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 5,352,960
Proper Divisor Sum 2,810,418
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #2542531 ← → #2542549

Radix Representation

Decimal 2542542
Binary 1001101100101111001110 (22 bits)
Octal 0o11545716
Hexadecimal 0x26CBCE

Divisor Catalog (16)

1 2 3 6 19 38 57 114 22,303 44,606 66,909 133,818 423,757 847,514 1,271,271 2,542,542

Collatz Trajectory (249 steps to reach 1)

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

2,542,542 1,271,271 3,813,814 1,906,907 5,720,722 2,860,361 8,581,084 4,290,542 2,145,271 6,435,814 3,217,907 9,653,722 4,826,861 14,480,584 7,240,292 3,620,146 1,810,073 5,430,220 2,715,110 1,357,555 4,072,666 2,036,333 6,109,000 3,054,500 1,527,250 763,625 2,290,876 1,145,438 572,719 1,718,158 859,079 2,577,238 1,288,619 3,865,858 1,932,929 5,798,788 2,899,394 1,449,697 4,349,092 2,174,546 1,087,273 3,261,820 1,630,910 815,455 2,446,366 1,223,183 3,669,550 1,834,775 5,504,326 2,752,163 8,256,490 4,128,245 12,384,736 6,192,368 3,096,184 1,548,092 774,046 387,023 1,161,070 580,535

More profiles

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