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Atlas › Integer Profiles › Node 41,004,084

41,004,084

22 × 3 × 11 × 113 × 2749
Abundant Even Composite

41,004,084 factors as 2^2 × 3 × 11 × 113 × 2749. Its 48 positive divisors give a proper-divisor sum of 64,331,916, so this integer is abundant. The Collatz stopping time is 116 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 11 × 113 × 2749
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 105,336,000
Proper Divisor Sum 64,331,916
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #41004083 ← → #41004091

Radix Representation

Decimal 41004084
Binary 10011100011010110000110100 (26 bits)
Octal 0o234326064
Hexadecimal 0x271AC34

Divisor Catalog (48)

1 2 3 4 6 11 12 22 33 44 66 113 132 226 339 452 678 1,243 1,356 2,486 2,749 3,729 4,972 5,498 7,458 8,247 10,996 14,916 16,494 30,239 32,988 60,478 90,717 120,956 181,434 310,637 362,868 621,274 931,911 1,242,548 1,863,822 3,417,007 3,727,644 6,834,014 10,251,021 13,668,028 20,502,042 41,004,084

Collatz Trajectory (116 steps to reach 1)

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

41,004,084 20,502,042 10,251,021 30,753,064 15,376,532 7,688,266 3,844,133 11,532,400 5,766,200 2,883,100 1,441,550 720,775 2,162,326 1,081,163 3,243,490 1,621,745 4,865,236 2,432,618 1,216,309 3,648,928 1,824,464 912,232 456,116 228,058 114,029 342,088 171,044 85,522 42,761 128,284 64,142 32,071 96,214 48,107 144,322 72,161 216,484 108,242 54,121 162,364 81,182 40,591 121,774 60,887 182,662 91,331 273,994 136,997 410,992 205,496 102,748 51,374 25,687 77,062 38,531 115,594 57,797 173,392 86,696 43,348

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