λ
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Atlas › Integer Profiles › Node 41,005,278

41,005,278

2 × 35 × 139 × 607
Abundant Even Composite

41,005,278 factors as 2 × 3^5 × 139 × 607. Its 48 positive divisors give a proper-divisor sum of 51,945,762, so this integer is abundant. The Collatz stopping time is 214 steps.

Prime Factor Structure

Factorization String 2 × 3^5 × 139 × 607
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 92,951,040
Proper Divisor Sum 51,945,762
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #41005267 ← → #41005301

Radix Representation

Decimal 41005278
Binary 10011100011011000011011110 (26 bits)
Octal 0o234330336
Hexadecimal 0x271B0DE

Divisor Catalog (48)

1 2 3 6 9 18 27 54 81 139 162 243 278 417 486 607 834 1,214 1,251 1,821 2,502 3,642 3,753 5,463 7,506 10,926 11,259 16,389 22,518 32,778 33,777 49,167 67,554 84,373 98,334 147,501 168,746 253,119 295,002 506,238 759,357 1,518,714 2,278,071 4,556,142 6,834,213 13,668,426 20,502,639 41,005,278

Collatz Trajectory (214 steps to reach 1)

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

41,005,278 20,502,639 61,507,918 30,753,959 92,261,878 46,130,939 138,392,818 69,196,409 207,589,228 103,794,614 51,897,307 155,691,922 77,845,961 233,537,884 116,768,942 58,384,471 175,153,414 87,576,707 262,730,122 131,365,061 394,095,184 197,047,592 98,523,796 49,261,898 24,630,949 73,892,848 36,946,424 18,473,212 9,236,606 4,618,303 13,854,910 6,927,455 20,782,366 10,391,183 31,173,550 15,586,775 46,760,326 23,380,163 70,140,490 35,070,245 105,210,736 52,605,368 26,302,684 13,151,342 6,575,671 19,727,014 9,863,507 29,590,522 14,795,261 44,385,784 22,192,892 11,096,446 5,548,223 16,644,670 8,322,335 24,967,006 12,483,503 37,450,510 18,725,255 56,175,766

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