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Atlas › Integer Profiles › Node 9,239,346

9,239,346

2 × 36 × 6337
Abundant Even Composite

9,239,346 factors as 2 × 3^6 × 6337. Its 28 positive divisors give a proper-divisor sum of 11,542,956, so this integer is abundant. The Collatz stopping time is 163 steps.

Prime Factor Structure

Factorization String 2 × 3^6 × 6337
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 20,782,302
Proper Divisor Sum 11,542,956
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9239327 ← → #9239359

Radix Representation

Decimal 9239346
Binary 100011001111101100110010 (24 bits)
Octal 0o43175462
Hexadecimal 0x8CFB32

Divisor Catalog (28)

1 2 3 6 9 18 27 54 81 162 243 486 729 1,458 6,337 12,674 19,011 38,022 57,033 114,066 171,099 342,198 513,297 1,026,594 1,539,891 3,079,782 4,619,673 9,239,346

Collatz Trajectory (163 steps to reach 1)

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

9,239,346 4,619,673 13,859,020 6,929,510 3,464,755 10,394,266 5,197,133 15,591,400 7,795,700 3,897,850 1,948,925 5,846,776 2,923,388 1,461,694 730,847 2,192,542 1,096,271 3,288,814 1,644,407 4,933,222 2,466,611 7,399,834 3,699,917 11,099,752 5,549,876 2,774,938 1,387,469 4,162,408 2,081,204 1,040,602 520,301 1,560,904 780,452 390,226 195,113 585,340 292,670 146,335 439,006 219,503 658,510 329,255 987,766 493,883 1,481,650 740,825 2,222,476 1,111,238 555,619 1,666,858 833,429 2,500,288 1,250,144 625,072 312,536 156,268 78,134 39,067 117,202 58,601

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