λ
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41,999,300

22 × 52 × 7 × 59999
Abundant Even Composite

41,999,300 factors as 2^2 × 5^2 × 7 × 59999. Its 36 positive divisors give a proper-divisor sum of 62,160,700, so this integer is abundant. The Collatz stopping time is 191 steps.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 7 × 59999
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 104,160,000
Proper Divisor Sum 62,160,700
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #41999273 ← → #41999359

Radix Representation

Decimal 41999300
Binary 10100000001101101111000100 (26 bits)
Octal 0o240155704
Hexadecimal 0x280DBC4

Divisor Catalog (36)

1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 59,999 119,998 239,996 299,995 419,993 599,990 839,986 1,199,980 1,499,975 1,679,972 2,099,965 2,999,950 4,199,930 5,999,900 8,399,860 10,499,825 20,999,650 41,999,300

Collatz Trajectory (191 steps to reach 1)

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

41,999,300 20,999,650 10,499,825 31,499,476 15,749,738 7,874,869 23,624,608 11,812,304 5,906,152 2,953,076 1,476,538 738,269 2,214,808 1,107,404 553,702 276,851 830,554 415,277 1,245,832 622,916 311,458 155,729 467,188 233,594 116,797 350,392 175,196 87,598 43,799 131,398 65,699 197,098 98,549 295,648 147,824 73,912 36,956 18,478 9,239 27,718 13,859 41,578 20,789 62,368 31,184 15,592 7,796 3,898 1,949 5,848 2,924 1,462 731 2,194 1,097 3,292 1,646 823 2,470 1,235

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