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Atlas › Integer Profiles › Node 25,318,416

25,318,416

24 × 3 × 61 × 8647
Abundant Even Composite

25,318,416 factors as 2^4 × 3 × 61 × 8647. Its 40 positive divisors give a proper-divisor sum of 41,167,408, so this integer is abundant. The Collatz stopping time is 180 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 61 × 8647
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 66,485,824
Proper Divisor Sum 41,167,408
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #25318379 ← → #25318417

Radix Representation

Decimal 25318416
Binary 1100000100101010000010000 (25 bits)
Octal 0o140452020
Hexadecimal 0x1825410

Divisor Catalog (40)

1 2 3 4 6 8 12 16 24 48 61 122 183 244 366 488 732 976 1,464 2,928 8,647 17,294 25,941 34,588 51,882 69,176 103,764 138,352 207,528 415,056 527,467 1,054,934 1,582,401 2,109,868 3,164,802 4,219,736 6,329,604 8,439,472 12,659,208 25,318,416

Collatz Trajectory (180 steps to reach 1)

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

25,318,416 12,659,208 6,329,604 3,164,802 1,582,401 4,747,204 2,373,602 1,186,801 3,560,404 1,780,202 890,101 2,670,304 1,335,152 667,576 333,788 166,894 83,447 250,342 125,171 375,514 187,757 563,272 281,636 140,818 70,409 211,228 105,614 52,807 158,422 79,211 237,634 118,817 356,452 178,226 89,113 267,340 133,670 66,835 200,506 100,253 300,760 150,380 75,190 37,595 112,786 56,393 169,180 84,590 42,295 126,886 63,443 190,330 95,165 285,496 142,748 71,374 35,687 107,062 53,531 160,594

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