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Atlas › Integer Profiles › Node 41,347,728

41,347,728

24 × 32 × 287137
Abundant Even Composite

41,347,728 factors as 2^4 × 3^2 × 287137. Its 30 positive divisors give a proper-divisor sum of 74,368,886, so this integer is abundant. The Collatz stopping time is 160 steps.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 287137
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 115,716,614
Proper Divisor Sum 74,368,886
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #41347727 ← → #41347729

Radix Representation

Decimal 41347728
Binary 10011101101110101010010000 (26 bits)
Octal 0o235565220
Hexadecimal 0x276EA90

Divisor Catalog (30)

1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 287,137 574,274 861,411 1,148,548 1,722,822 2,297,096 2,584,233 3,445,644 4,594,192 5,168,466 6,891,288 10,336,932 13,782,576 20,673,864 41,347,728

Collatz Trajectory (160 steps to reach 1)

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

41,347,728 20,673,864 10,336,932 5,168,466 2,584,233 7,752,700 3,876,350 1,938,175 5,814,526 2,907,263 8,721,790 4,360,895 13,082,686 6,541,343 19,624,030 9,812,015 29,436,046 14,718,023 44,154,070 22,077,035 66,231,106 33,115,553 99,346,660 49,673,330 24,836,665 74,509,996 37,254,998 18,627,499 55,882,498 27,941,249 83,823,748 41,911,874 20,955,937 62,867,812 31,433,906 15,716,953 47,150,860 23,575,430 11,787,715 35,363,146 17,681,573 53,044,720 26,522,360 13,261,180 6,630,590 3,315,295 9,945,886 4,972,943 14,918,830 7,459,415 22,378,246 11,189,123 33,567,370 16,783,685 50,351,056 25,175,528 12,587,764 6,293,882 3,146,941 9,440,824

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