λ
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Atlas › Integer Profiles › Node 18,052,104

18,052,104

23 × 3 × 7 × 107453
Abundant Even Composite

18,052,104 factors as 2^3 × 3 × 7 × 107453. Its 32 positive divisors give a proper-divisor sum of 33,525,816, so this integer is abundant. The Collatz stopping time is 164 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 7 × 107453
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 51,577,920
Proper Divisor Sum 33,525,816
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #18052103 ← → #18052117

Radix Representation

Decimal 18052104
Binary 1000100110111010000001000 (25 bits)
Octal 0o104672010
Hexadecimal 0x1137408

Divisor Catalog (32)

1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 107,453 214,906 322,359 429,812 644,718 752,171 859,624 1,289,436 1,504,342 2,256,513 2,578,872 3,008,684 4,513,026 6,017,368 9,026,052 18,052,104

Collatz Trajectory (164 steps to reach 1)

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

18,052,104 9,026,052 4,513,026 2,256,513 6,769,540 3,384,770 1,692,385 5,077,156 2,538,578 1,269,289 3,807,868 1,903,934 951,967 2,855,902 1,427,951 4,283,854 2,141,927 6,425,782 3,212,891 9,638,674 4,819,337 14,458,012 7,229,006 3,614,503 10,843,510 5,421,755 16,265,266 8,132,633 24,397,900 12,198,950 6,099,475 18,298,426 9,149,213 27,447,640 13,723,820 6,861,910 3,430,955 10,292,866 5,146,433 15,439,300 7,719,650 3,859,825 11,579,476 5,789,738 2,894,869 8,684,608 4,342,304 2,171,152 1,085,576 542,788 271,394 135,697 407,092 203,546 101,773 305,320 152,660 76,330 38,165 114,496

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