λ
Ratio Atlas

7,189,794

2 × 32 × 399433
Abundant Even Composite

7,189,794 factors as 2 × 3^2 × 399433. Its 12 positive divisors give a proper-divisor sum of 8,388,132, so this integer is abundant. The Collatz stopping time is 116 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 399433
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 15,577,926
Proper Divisor Sum 8,388,132
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #7189783 ← → #7189849

Radix Representation

Decimal 7189794
Binary 11011011011010100100010 (23 bits)
Octal 0o33332442
Hexadecimal 0x6DB522

Divisor Catalog (12)

1 2 3 6 9 18 399,433 798,866 1,198,299 2,396,598 3,594,897 7,189,794

Collatz Trajectory (116 steps to reach 1)

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

7,189,794 3,594,897 10,784,692 5,392,346 2,696,173 8,088,520 4,044,260 2,022,130 1,011,065 3,033,196 1,516,598 758,299 2,274,898 1,137,449 3,412,348 1,706,174 853,087 2,559,262 1,279,631 3,838,894 1,919,447 5,758,342 2,879,171 8,637,514 4,318,757 12,956,272 6,478,136 3,239,068 1,619,534 809,767 2,429,302 1,214,651 3,643,954 1,821,977 5,465,932 2,732,966 1,366,483 4,099,450 2,049,725 6,149,176 3,074,588 1,537,294 768,647 2,305,942 1,152,971 3,458,914 1,729,457 5,188,372 2,594,186 1,297,093 3,891,280 1,945,640 972,820 486,410 243,205 729,616 364,808 182,404 91,202 45,601

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