λ
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Atlas › Integer Profiles › Node 41,005,998

41,005,998

2 × 32 × 11 × 73 × 2837
Abundant Even Composite

41,005,998 factors as 2 × 3^2 × 11 × 73 × 2837. Its 48 positive divisors give a proper-divisor sum of 57,279,618, so this integer is abundant. The Collatz stopping time is 253 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 11 × 73 × 2837
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 98,285,616
Proper Divisor Sum 57,279,618
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #41005997 ← → #41005999

Radix Representation

Decimal 41005998
Binary 10011100011011001110101110 (26 bits)
Octal 0o234331656
Hexadecimal 0x271B3AE

Divisor Catalog (48)

1 2 3 6 9 11 18 22 33 66 73 99 146 198 219 438 657 803 1,314 1,606 2,409 2,837 4,818 5,674 7,227 8,511 14,454 17,022 25,533 31,207 51,066 62,414 93,621 187,242 207,101 280,863 414,202 561,726 621,303 1,242,606 1,863,909 2,278,111 3,727,818 4,556,222 6,834,333 13,668,666 20,502,999 41,005,998

Collatz Trajectory (253 steps to reach 1)

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

41,005,998 20,502,999 61,508,998 30,754,499 92,263,498 46,131,749 138,395,248 69,197,624 34,598,812 17,299,406 8,649,703 25,949,110 12,974,555 38,923,666 19,461,833 58,385,500 29,192,750 14,596,375 43,789,126 21,894,563 65,683,690 32,841,845 98,525,536 49,262,768 24,631,384 12,315,692 6,157,846 3,078,923 9,236,770 4,618,385 13,855,156 6,927,578 3,463,789 10,391,368 5,195,684 2,597,842 1,298,921 3,896,764 1,948,382 974,191 2,922,574 1,461,287 4,383,862 2,191,931 6,575,794 3,287,897 9,863,692 4,931,846 2,465,923 7,397,770 3,698,885 11,096,656 5,548,328 2,774,164 1,387,082 693,541 2,080,624 1,040,312 520,156 260,078

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