λ
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41,999,660

22 × 5 × 83 × 25301
Abundant Even Composite

41,999,660 factors as 2^2 × 5 × 83 × 25301. Its 24 positive divisors give a proper-divisor sum of 47,265,796, so this integer is abundant. The Collatz stopping time is 72 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 83 × 25301
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 89,265,456
Proper Divisor Sum 47,265,796
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #41999651 ← → #41999677

Radix Representation

Decimal 41999660
Binary 10100000001101110100101100 (26 bits)
Octal 0o240156454
Hexadecimal 0x280DD2C

Divisor Catalog (24)

1 2 4 5 10 20 83 166 332 415 830 1,660 25,301 50,602 101,204 126,505 253,010 506,020 2,099,983 4,199,966 8,399,932 10,499,915 20,999,830 41,999,660

Collatz Trajectory (72 steps to reach 1)

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

41,999,660 20,999,830 10,499,915 31,499,746 15,749,873 47,249,620 23,624,810 11,812,405 35,437,216 17,718,608 8,859,304 4,429,652 2,214,826 1,107,413 3,322,240 1,661,120 830,560 415,280 207,640 103,820 51,910 25,955 77,866 38,933 116,800 58,400 29,200 14,600 7,300 3,650 1,825 5,476 2,738 1,369 4,108 2,054 1,027 3,082 1,541 4,624 2,312 1,156 578 289 868 434 217 652 326 163 490 245 736 368 184 92 46 23 70 35

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