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Atlas › Integer Profiles › Node 4,091,016

4,091,016

23 × 3 × 17 × 37 × 271
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3 × 17 × 37 × 271
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 11,162,880
Proper Divisor Sum 7,071,864
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #4091011 ← → #4091047

Radix Representation

Decimal 4091016
Binary 1111100110110010001000 (22 bits)
Octal 0o17466210
Hexadecimal 0x3E6C88

Divisor Catalog (60 of 64)

1 2 3 4 6 8 12 17 24 34 37 51 68 74 102 111 136 148 204 222 271 296 408 444 542 629 813 888 1,084 1,258 1,626 1,887 2,168 2,516 3,252 3,774 4,607 5,032 6,504 7,548 9,214 10,027 13,821 15,096 18,428 20,054 27,642 30,081 36,856 40,108 55,284 60,162 80,216 110,568 120,324 170,459 240,648 340,918 511,377 681,836

Collatz Trajectory (61 steps to reach 1)

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

4,091,016 2,045,508 1,022,754 511,377 1,534,132 767,066 383,533 1,150,600 575,300 287,650 143,825 431,476 215,738 107,869 323,608 161,804 80,902 40,451 121,354 60,677 182,032 91,016 45,508 22,754 11,377 34,132 17,066 8,533 25,600 12,800 6,400 3,200 1,600 800 400 200 100 50 25 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4

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