λ
Zalai Atlas

2,062,560

25 × 3 × 5 × 4297
Abundant Even Composite

2,062,560 has the prime decomposition 2^5 × 3 × 5 × 4297. Its 4 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 3 × 5 × 4297
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 6,498,576
Proper Divisor Sum 4,436,016
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #2062553 ← → #2062561

Radix Representation

Decimal 2062560
Binary 111110111100011100000 (21 bits)
Octal 0o7674340
Hexadecimal 0x1F78E0

Divisor Catalog (48)

1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 4,297 8,594 12,891 17,188 21,485 25,782 34,376 42,970 51,564 64,455 68,752 85,940 103,128 128,910 137,504 171,880 206,256 257,820 343,760 412,512 515,640 687,520 1,031,280 2,062,560

Collatz Trajectory (166 steps to reach 1)

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

2,062,560 1,031,280 515,640 257,820 128,910 64,455 193,366 96,683 290,050 145,025 435,076 217,538 108,769 326,308 163,154 81,577 244,732 122,366 61,183 183,550 91,775 275,326 137,663 412,990 206,495 619,486 309,743 929,230 464,615 1,393,846 696,923 2,090,770 1,045,385 3,136,156 1,568,078 784,039 2,352,118 1,176,059 3,528,178 1,764,089 5,292,268 2,646,134 1,323,067 3,969,202 1,984,601 5,953,804 2,976,902 1,488,451 4,465,354 2,232,677 6,698,032 3,349,016 1,674,508 837,254 418,627 1,255,882 627,941 1,883,824 941,912 470,956

More profiles

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