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Atlas › Integer Profiles › Node 2,004,990

2,004,990

2 × 3 × 5 × 13 × 53 × 97
Abundant Even Composite

2,004,990 factors as 2 × 3 × 5 × 13 × 53 × 97. Its 64 positive divisors give a proper-divisor sum of 3,329,346, so this integer is abundant. The Collatz stopping time is 166 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 13 × 53 × 97
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 5,334,336
Proper Divisor Sum 3,329,346
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #2004983 ← → #2004991

Radix Representation

Decimal 2004990
Binary 111101001011111111110 (21 bits)
Octal 0o7513776
Hexadecimal 0x1E97FE

Divisor Catalog (60 of 64)

1 2 3 5 6 10 13 15 26 30 39 53 65 78 97 106 130 159 194 195 265 291 318 390 485 530 582 689 795 970 1,261 1,378 1,455 1,590 2,067 2,522 2,910 3,445 3,783 4,134 5,141 6,305 6,890 7,566 10,282 10,335 12,610 15,423 18,915 20,670 25,705 30,846 37,830 51,410 66,833 77,115 133,666 154,230 200,499 334,165

Collatz Trajectory (166 steps to reach 1)

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

2,004,990 1,002,495 3,007,486 1,503,743 4,511,230 2,255,615 6,766,846 3,383,423 10,150,270 5,075,135 15,225,406 7,612,703 22,838,110 11,419,055 34,257,166 17,128,583 51,385,750 25,692,875 77,078,626 38,539,313 115,617,940 57,808,970 28,904,485 86,713,456 43,356,728 21,678,364 10,839,182 5,419,591 16,258,774 8,129,387 24,388,162 12,194,081 36,582,244 18,291,122 9,145,561 27,436,684 13,718,342 6,859,171 20,577,514 10,288,757 30,866,272 15,433,136 7,716,568 3,858,284 1,929,142 964,571 2,893,714 1,446,857 4,340,572 2,170,286 1,085,143 3,255,430 1,627,715 4,883,146 2,441,573 7,324,720 3,662,360 1,831,180 915,590 457,795

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