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Atlas › Integer Profiles › Node 18,002,944

18,002,944

210 × 17581
Deficient Even Composite

18,002,944 factors as 2^10 × 17581. Its 22 positive divisors give a proper-divisor sum of 17,987,410, so this integer is deficient. The Collatz stopping time is 138 steps.

Prime Factor Structure

Factorization String 2^10 × 17581
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 22
Divisor Sum (σ) 35,990,354
Proper Divisor Sum 17,987,410
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #18002923 ← → #18002969

Radix Representation

Decimal 18002944
Binary 1000100101011010000000000 (25 bits)
Octal 0o104532000
Hexadecimal 0x112B400

Divisor Catalog (22)

1 2 4 8 16 32 64 128 256 512 1,024 17,581 35,162 70,324 140,648 281,296 562,592 1,125,184 2,250,368 4,500,736 9,001,472 18,002,944

Collatz Trajectory (138 steps to reach 1)

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

18,002,944 9,001,472 4,500,736 2,250,368 1,125,184 562,592 281,296 140,648 70,324 35,162 17,581 52,744 26,372 13,186 6,593 19,780 9,890 4,945 14,836 7,418 3,709 11,128 5,564 2,782 1,391 4,174 2,087 6,262 3,131 9,394 4,697 14,092 7,046 3,523 10,570 5,285 15,856 7,928 3,964 1,982 991 2,974 1,487 4,462 2,231 6,694 3,347 10,042 5,021 15,064 7,532 3,766 1,883 5,650 2,825 8,476 4,238 2,119 6,358 3,179

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