λ
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Atlas › Integer Profiles › Node 25,555,250

25,555,250

2 × 53 × 7 × 17 × 859
Abundant Even Composite

25,555,250 factors as 2 × 5^3 × 7 × 17 × 859. Its 64 positive divisors give a proper-divisor sum of 32,401,870, so this integer is abundant. The Collatz stopping time is 198 steps.

Prime Factor Structure

Factorization String 2 × 5^3 × 7 × 17 × 859
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 57,957,120
Proper Divisor Sum 32,401,870
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #25555249 ← → #25555261

Radix Representation

Decimal 25555250
Binary 1100001011111000100110010 (25 bits)
Octal 0o141370462
Hexadecimal 0x185F132

Divisor Catalog (60 of 64)

1 2 5 7 10 14 17 25 34 35 50 70 85 119 125 170 175 238 250 350 425 595 850 859 875 1,190 1,718 1,750 2,125 2,975 4,250 4,295 5,950 6,013 8,590 12,026 14,603 14,875 21,475 29,206 29,750 30,065 42,950 60,130 73,015 102,221 107,375 146,030 150,325 204,442 214,750 300,650 365,075 511,105 730,150 751,625 1,022,210 1,503,250 1,825,375 2,555,525

Collatz Trajectory (198 steps to reach 1)

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

25,555,250 12,777,625 38,332,876 19,166,438 9,583,219 28,749,658 14,374,829 43,124,488 21,562,244 10,781,122 5,390,561 16,171,684 8,085,842 4,042,921 12,128,764 6,064,382 3,032,191 9,096,574 4,548,287 13,644,862 6,822,431 20,467,294 10,233,647 30,700,942 15,350,471 46,051,414 23,025,707 69,077,122 34,538,561 103,615,684 51,807,842 25,903,921 77,711,764 38,855,882 19,427,941 58,283,824 29,141,912 14,570,956 7,285,478 3,642,739 10,928,218 5,464,109 16,392,328 8,196,164 4,098,082 2,049,041 6,147,124 3,073,562 1,536,781 4,610,344 2,305,172 1,152,586 576,293 1,728,880 864,440 432,220 216,110 108,055 324,166 162,083

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