λ
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Atlas › Integer Profiles › Node 41,664,078

41,664,078

2 × 33 × 71 × 10867
Abundant Even Composite

41,664,078 factors as 2 × 3^3 × 71 × 10867. Its 32 positive divisors give a proper-divisor sum of 52,235,442, so this integer is abundant. The Collatz stopping time is 222 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 71 × 10867
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 93,899,520
Proper Divisor Sum 52,235,442
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #41664061 ← → #41664079

Radix Representation

Decimal 41664078
Binary 10011110111011111001001110 (26 bits)
Octal 0o236737116
Hexadecimal 0x27BBE4E

Divisor Catalog (32)

1 2 3 6 9 18 27 54 71 142 213 426 639 1,278 1,917 3,834 10,867 21,734 32,601 65,202 97,803 195,606 293,409 586,818 771,557 1,543,114 2,314,671 4,629,342 6,944,013 13,888,026 20,832,039 41,664,078

Collatz Trajectory (222 steps to reach 1)

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

41,664,078 20,832,039 62,496,118 31,248,059 93,744,178 46,872,089 140,616,268 70,308,134 35,154,067 105,462,202 52,731,101 158,193,304 79,096,652 39,548,326 19,774,163 59,322,490 29,661,245 88,983,736 44,491,868 22,245,934 11,122,967 33,368,902 16,684,451 50,053,354 25,026,677 75,080,032 37,540,016 18,770,008 9,385,004 4,692,502 2,346,251 7,038,754 3,519,377 10,558,132 5,279,066 2,639,533 7,918,600 3,959,300 1,979,650 989,825 2,969,476 1,484,738 742,369 2,227,108 1,113,554 556,777 1,670,332 835,166 417,583 1,252,750 626,375 1,879,126 939,563 2,818,690 1,409,345 4,228,036 2,114,018 1,057,009 3,171,028 1,585,514

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