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18,123,760

24 × 5 × 226547
Abundant Even Composite

18,123,760 factors as 2^4 × 5 × 226547. Its 20 positive divisors give a proper-divisor sum of 24,014,168, so this integer is abundant. The Collatz stopping time is 89 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 226547
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 42,137,928
Proper Divisor Sum 24,014,168
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #18123737 ← → #18123761

Radix Representation

Decimal 18123760
Binary 1000101001000101111110000 (25 bits)
Octal 0o105105760
Hexadecimal 0x1148BF0

Divisor Catalog (20)

1 2 4 5 8 10 16 20 40 80 226,547 453,094 906,188 1,132,735 1,812,376 2,265,470 3,624,752 4,530,940 9,061,880 18,123,760

Collatz Trajectory (89 steps to reach 1)

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

18,123,760 9,061,880 4,530,940 2,265,470 1,132,735 3,398,206 1,699,103 5,097,310 2,548,655 7,645,966 3,822,983 11,468,950 5,734,475 17,203,426 8,601,713 25,805,140 12,902,570 6,451,285 19,353,856 9,676,928 4,838,464 2,419,232 1,209,616 604,808 302,404 151,202 75,601 226,804 113,402 56,701 170,104 85,052 42,526 21,263 63,790 31,895 95,686 47,843 143,530 71,765 215,296 107,648 53,824 26,912 13,456 6,728 3,364 1,682 841 2,524 1,262 631 1,894 947 2,842 1,421 4,264 2,132 1,066 533

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