λ
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Atlas › Integer Profiles › Node 24,673,098

24,673,098

2 × 3 × 113 × 151 × 241
Abundant Even Composite

24,673,098 factors as 2 × 3 × 113 × 151 × 241. Its 32 positive divisors give a proper-divisor sum of 25,647,414, so this integer is abundant. The Collatz stopping time is 242 steps.

Prime Factor Structure

Factorization String 2 × 3 × 113 × 151 × 241
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 50,320,512
Proper Divisor Sum 25,647,414
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #24673093 ← → #24673111

Radix Representation

Decimal 24673098
Binary 1011110000111101101001010 (25 bits)
Octal 0o136075512
Hexadecimal 0x1787B4A

Divisor Catalog (32)

1 2 3 6 113 151 226 241 302 339 453 482 678 723 906 1,446 17,063 27,233 34,126 36,391 51,189 54,466 72,782 81,699 102,378 109,173 163,398 218,346 4,112,183 8,224,366 12,336,549 24,673,098

Collatz Trajectory (242 steps to reach 1)

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

24,673,098 12,336,549 37,009,648 18,504,824 9,252,412 4,626,206 2,313,103 6,939,310 3,469,655 10,408,966 5,204,483 15,613,450 7,806,725 23,420,176 11,710,088 5,855,044 2,927,522 1,463,761 4,391,284 2,195,642 1,097,821 3,293,464 1,646,732 823,366 411,683 1,235,050 617,525 1,852,576 926,288 463,144 231,572 115,786 57,893 173,680 86,840 43,420 21,710 10,855 32,566 16,283 48,850 24,425 73,276 36,638 18,319 54,958 27,479 82,438 41,219 123,658 61,829 185,488 92,744 46,372 23,186 11,593 34,780 17,390 8,695 26,086

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