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2,542,020

22 × 3 × 5 × 13 × 3259
Abundant Even Composite

2,542,020 factors as 2^2 × 3 × 5 × 13 × 3259. Its 48 positive divisors give a proper-divisor sum of 5,125,500, so this integer is abundant. The Collatz stopping time is 143 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 13 × 3259
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 7,667,520
Proper Divisor Sum 5,125,500
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #2542009 ← → #2542021

Radix Representation

Decimal 2542020
Binary 1001101100100111000100 (22 bits)
Octal 0o11544704
Hexadecimal 0x26C9C4

Divisor Catalog (48)

1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 3,259 6,518 9,777 13,036 16,295 19,554 32,590 39,108 42,367 48,885 65,180 84,734 97,770 127,101 169,468 195,540 211,835 254,202 423,670 508,404 635,505 847,340 1,271,010 2,542,020

Collatz Trajectory (143 steps to reach 1)

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

2,542,020 1,271,010 635,505 1,906,516 953,258 476,629 1,429,888 714,944 357,472 178,736 89,368 44,684 22,342 11,171 33,514 16,757 50,272 25,136 12,568 6,284 3,142 1,571 4,714 2,357 7,072 3,536 1,768 884 442 221 664 332 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466

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