λ
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Atlas › Integer Profiles › Node 18,082,816

18,082,816

210 × 17659
Deficient Even Composite

18,082,816 factors as 2^10 × 17659. Its 22 positive divisors give a proper-divisor sum of 18,067,204, so this integer is deficient. The Collatz stopping time is 138 steps.

Prime Factor Structure

Factorization String 2^10 × 17659
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 22
Divisor Sum (σ) 36,150,020
Proper Divisor Sum 18,067,204
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #18082811 ← → #18082819

Radix Representation

Decimal 18082816
Binary 1000100111110110000000000 (25 bits)
Octal 0o104766000
Hexadecimal 0x113EC00

Divisor Catalog (22)

1 2 4 8 16 32 64 128 256 512 1,024 17,659 35,318 70,636 141,272 282,544 565,088 1,130,176 2,260,352 4,520,704 9,041,408 18,082,816

Collatz Trajectory (138 steps to reach 1)

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

18,082,816 9,041,408 4,520,704 2,260,352 1,130,176 565,088 282,544 141,272 70,636 35,318 17,659 52,978 26,489 79,468 39,734 19,867 59,602 29,801 89,404 44,702 22,351 67,054 33,527 100,582 50,291 150,874 75,437 226,312 113,156 56,578 28,289 84,868 42,434 21,217 63,652 31,826 15,913 47,740 23,870 11,935 35,806 17,903 53,710 26,855 80,566 40,283 120,850 60,425 181,276 90,638 45,319 135,958 67,979 203,938 101,969 305,908 152,954 76,477 229,432 114,716

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