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Atlas › Integer Profiles › Node 26,424,520

26,424,520

23 × 5 × 461 × 1433
Abundant Even Composite

26,424,520 factors as 2^3 × 5 × 461 × 1433. Its 32 positive divisors give a proper-divisor sum of 33,201,200, so this integer is abundant. The Collatz stopping time is 211 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 461 × 1433
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 59,625,720
Proper Divisor Sum 33,201,200
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #26424499 ← → #26424533

Radix Representation

Decimal 26424520
Binary 1100100110011010011001000 (25 bits)
Octal 0o144632310
Hexadecimal 0x19334C8

Divisor Catalog (32)

1 2 4 5 8 10 20 40 461 922 1,433 1,844 2,305 2,866 3,688 4,610 5,732 7,165 9,220 11,464 14,330 18,440 28,660 57,320 660,613 1,321,226 2,642,452 3,303,065 5,284,904 6,606,130 13,212,260 26,424,520

Collatz Trajectory (211 steps to reach 1)

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

26,424,520 13,212,260 6,606,130 3,303,065 9,909,196 4,954,598 2,477,299 7,431,898 3,715,949 11,147,848 5,573,924 2,786,962 1,393,481 4,180,444 2,090,222 1,045,111 3,135,334 1,567,667 4,703,002 2,351,501 7,054,504 3,527,252 1,763,626 881,813 2,645,440 1,322,720 661,360 330,680 165,340 82,670 41,335 124,006 62,003 186,010 93,005 279,016 139,508 69,754 34,877 104,632 52,316 26,158 13,079 39,238 19,619 58,858 29,429 88,288 44,144 22,072 11,036 5,518 2,759 8,278 4,139 12,418 6,209 18,628 9,314 4,657

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