λ
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Atlas › Integer Profiles › Node 24,257,358

24,257,358

2 × 32 × 47 × 53 × 541
Abundant Even Composite

24,257,358 factors as 2 × 3^2 × 47 × 53 × 541. Its 48 positive divisors give a proper-divisor sum of 30,532,338, so this integer is abundant. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 47 × 53 × 541
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 54,789,696
Proper Divisor Sum 30,532,338
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #24257347 ← → #24257377

Radix Representation

Decimal 24257358
Binary 1011100100010001101001110 (25 bits)
Octal 0o134421516
Hexadecimal 0x172234E

Divisor Catalog (48)

1 2 3 6 9 18 47 53 94 106 141 159 282 318 423 477 541 846 954 1,082 1,623 2,491 3,246 4,869 4,982 7,473 9,738 14,946 22,419 25,427 28,673 44,838 50,854 57,346 76,281 86,019 152,562 172,038 228,843 258,057 457,686 516,114 1,347,631 2,695,262 4,042,893 8,085,786 12,128,679 24,257,358

Collatz Trajectory (123 steps to reach 1)

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

24,257,358 12,128,679 36,386,038 18,193,019 54,579,058 27,289,529 81,868,588 40,934,294 20,467,147 61,401,442 30,700,721 92,102,164 46,051,082 23,025,541 69,076,624 34,538,312 17,269,156 8,634,578 4,317,289 12,951,868 6,475,934 3,237,967 9,713,902 4,856,951 14,570,854 7,285,427 21,856,282 10,928,141 32,784,424 16,392,212 8,196,106 4,098,053 12,294,160 6,147,080 3,073,540 1,536,770 768,385 2,305,156 1,152,578 576,289 1,728,868 864,434 432,217 1,296,652 648,326 324,163 972,490 486,245 1,458,736 729,368 364,684 182,342 91,171 273,514 136,757 410,272 205,136 102,568 51,284 25,642

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