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Atlas › Integer Profiles › Node 25,540,720

25,540,720

24 × 5 × 319259
Abundant Even Composite

25,540,720 factors as 2^4 × 5 × 319259. Its 20 positive divisors give a proper-divisor sum of 33,841,640, so this integer is abundant. The Collatz stopping time is 198 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 319259
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 59,382,360
Proper Divisor Sum 33,841,640
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #25540717 ← → #25540721

Radix Representation

Decimal 25540720
Binary 1100001011011100001110000 (25 bits)
Octal 0o141334160
Hexadecimal 0x185B870

Divisor Catalog (20)

1 2 4 5 8 10 16 20 40 80 319,259 638,518 1,277,036 1,596,295 2,554,072 3,192,590 5,108,144 6,385,180 12,770,360 25,540,720

Collatz Trajectory (198 steps to reach 1)

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

25,540,720 12,770,360 6,385,180 3,192,590 1,596,295 4,788,886 2,394,443 7,183,330 3,591,665 10,774,996 5,387,498 2,693,749 8,081,248 4,040,624 2,020,312 1,010,156 505,078 252,539 757,618 378,809 1,136,428 568,214 284,107 852,322 426,161 1,278,484 639,242 319,621 958,864 479,432 239,716 119,858 59,929 179,788 89,894 44,947 134,842 67,421 202,264 101,132 50,566 25,283 75,850 37,925 113,776 56,888 28,444 14,222 7,111 21,334 10,667 32,002 16,001 48,004 24,002 12,001 36,004 18,002 9,001 27,004

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