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Atlas › Integer Profiles › Node 9,729,230

9,729,230

2 × 5 × 7 × 23 × 6043
Abundant Even Composite

9,729,230 factors as 2 × 5 × 7 × 23 × 6043. Its 32 positive divisors give a proper-divisor sum of 11,158,834, so this integer is abundant. The Collatz stopping time is 251 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 23 × 6043
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 20,888,064
Proper Divisor Sum 11,158,834
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #9729227 ← → #9729241

Radix Representation

Decimal 9729230
Binary 100101000111010011001110 (24 bits)
Octal 0o45072316
Hexadecimal 0x9474CE

Divisor Catalog (32)

1 2 5 7 10 14 23 35 46 70 115 161 230 322 805 1,610 6,043 12,086 30,215 42,301 60,430 84,602 138,989 211,505 277,978 423,010 694,945 972,923 1,389,890 1,945,846 4,864,615 9,729,230

Collatz Trajectory (251 steps to reach 1)

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

9,729,230 4,864,615 14,593,846 7,296,923 21,890,770 10,945,385 32,836,156 16,418,078 8,209,039 24,627,118 12,313,559 36,940,678 18,470,339 55,411,018 27,705,509 83,116,528 41,558,264 20,779,132 10,389,566 5,194,783 15,584,350 7,792,175 23,376,526 11,688,263 35,064,790 17,532,395 52,597,186 26,298,593 78,895,780 39,447,890 19,723,945 59,171,836 29,585,918 14,792,959 44,378,878 22,189,439 66,568,318 33,284,159 99,852,478 49,926,239 149,778,718 74,889,359 224,668,078 112,334,039 337,002,118 168,501,059 505,503,178 252,751,589 758,254,768 379,127,384 189,563,692 94,781,846 47,390,923 142,172,770 71,086,385 213,259,156 106,629,578 53,314,789 159,944,368 79,972,184

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