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26,318,560

25 × 5 × 103 × 1597
Abundant Even Composite

26,318,560 factors as 2^5 × 5 × 103 × 1597. Its 48 positive divisors give a proper-divisor sum of 36,502,016, so this integer is abundant. The Collatz stopping time is 87 steps.

Prime Factor Structure

Factorization String 2^5 × 5 × 103 × 1597
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 62,820,576
Proper Divisor Sum 36,502,016
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #26318557 ← → #26318563

Radix Representation

Decimal 26318560
Binary 1100100011001011011100000 (25 bits)
Octal 0o144313340
Hexadecimal 0x19196E0

Divisor Catalog (48)

1 2 4 5 8 10 16 20 32 40 80 103 160 206 412 515 824 1,030 1,597 1,648 2,060 3,194 3,296 4,120 6,388 7,985 8,240 12,776 15,970 16,480 25,552 31,940 51,104 63,880 127,760 164,491 255,520 328,982 657,964 822,455 1,315,928 1,644,910 2,631,856 3,289,820 5,263,712 6,579,640 13,159,280 26,318,560

Collatz Trajectory (87 steps to reach 1)

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

26,318,560 13,159,280 6,579,640 3,289,820 1,644,910 822,455 2,467,366 1,233,683 3,701,050 1,850,525 5,551,576 2,775,788 1,387,894 693,947 2,081,842 1,040,921 3,122,764 1,561,382 780,691 2,342,074 1,171,037 3,513,112 1,756,556 878,278 439,139 1,317,418 658,709 1,976,128 988,064 494,032 247,016 123,508 61,754 30,877 92,632 46,316 23,158 11,579 34,738 17,369 52,108 26,054 13,027 39,082 19,541 58,624 29,312 14,656 7,328 3,664 1,832 916 458 229 688 344 172 86 43 130

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