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Atlas › Integer Profiles › Node 25,793,950

25,793,950

2 × 52 × 7 × 13 × 5669
Abundant Even Composite

25,793,950 factors as 2 × 5^2 × 7 × 13 × 5669. Its 48 positive divisors give a proper-divisor sum of 33,264,770, so this integer is abundant. The Collatz stopping time is 211 steps.

Prime Factor Structure

Factorization String 2 × 5^2 × 7 × 13 × 5669
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 59,058,720
Proper Divisor Sum 33,264,770
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #25793941 ← → #25793951

Radix Representation

Decimal 25793950
Binary 1100010011001010110011110 (25 bits)
Octal 0o142312636
Hexadecimal 0x189959E

Divisor Catalog (48)

1 2 5 7 10 13 14 25 26 35 50 65 70 91 130 175 182 325 350 455 650 910 2,275 4,550 5,669 11,338 28,345 39,683 56,690 73,697 79,366 141,725 147,394 198,415 283,450 368,485 396,830 515,879 736,970 992,075 1,031,758 1,842,425 1,984,150 2,579,395 3,684,850 5,158,790 12,896,975 25,793,950

Collatz Trajectory (211 steps to reach 1)

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

25,793,950 12,896,975 38,690,926 19,345,463 58,036,390 29,018,195 87,054,586 43,527,293 130,581,880 65,290,940 32,645,470 16,322,735 48,968,206 24,484,103 73,452,310 36,726,155 110,178,466 55,089,233 165,267,700 82,633,850 41,316,925 123,950,776 61,975,388 30,987,694 15,493,847 46,481,542 23,240,771 69,722,314 34,861,157 104,583,472 52,291,736 26,145,868 13,072,934 6,536,467 19,609,402 9,804,701 29,414,104 14,707,052 7,353,526 3,676,763 11,030,290 5,515,145 16,545,436 8,272,718 4,136,359 12,409,078 6,204,539 18,613,618 9,306,809 27,920,428 13,960,214 6,980,107 20,940,322 10,470,161 31,410,484 15,705,242 7,852,621 23,557,864 11,778,932 5,889,466

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