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Atlas › Integer Profiles › Node 5,657,790

5,657,790

2 × 3 × 5 × 103 × 1831
Abundant Even Composite

5,657,790 factors as 2 × 3 × 5 × 103 × 1831. Its 32 positive divisors give a proper-divisor sum of 8,060,226, so this integer is abundant. The Collatz stopping time is 201 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 103 × 1831
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 13,718,016
Proper Divisor Sum 8,060,226
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #5657789 ← → #5657831

Radix Representation

Decimal 5657790
Binary 10101100101010010111110 (23 bits)
Octal 0o25452276
Hexadecimal 0x5654BE

Divisor Catalog (32)

1 2 3 5 6 10 15 30 103 206 309 515 618 1,030 1,545 1,831 3,090 3,662 5,493 9,155 10,986 18,310 27,465 54,930 188,593 377,186 565,779 942,965 1,131,558 1,885,930 2,828,895 5,657,790

Collatz Trajectory (201 steps to reach 1)

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

5,657,790 2,828,895 8,486,686 4,243,343 12,730,030 6,365,015 19,095,046 9,547,523 28,642,570 14,321,285 42,963,856 21,481,928 10,740,964 5,370,482 2,685,241 8,055,724 4,027,862 2,013,931 6,041,794 3,020,897 9,062,692 4,531,346 2,265,673 6,797,020 3,398,510 1,699,255 5,097,766 2,548,883 7,646,650 3,823,325 11,469,976 5,734,988 2,867,494 1,433,747 4,301,242 2,150,621 6,451,864 3,225,932 1,612,966 806,483 2,419,450 1,209,725 3,629,176 1,814,588 907,294 453,647 1,360,942 680,471 2,041,414 1,020,707 3,062,122 1,531,061 4,593,184 2,296,592 1,148,296 574,148 287,074 143,537 430,612 215,306

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