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Atlas › Integer Profiles › Node 9,684,030

9,684,030

2 × 3 × 5 × 43 × 7507
Abundant Even Composite

9,684,030 factors as 2 × 3 × 5 × 43 × 7507. Its 32 positive divisors give a proper-divisor sum of 14,101,314, so this integer is abundant. The Collatz stopping time is 194 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 43 × 7507
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 23,785,344
Proper Divisor Sum 14,101,314
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #9684023 ← → #9684049

Radix Representation

Decimal 9684030
Binary 100100111100010000111110 (24 bits)
Octal 0o44742076
Hexadecimal 0x93C43E

Divisor Catalog (32)

1 2 3 5 6 10 15 30 43 86 129 215 258 430 645 1,290 7,507 15,014 22,521 37,535 45,042 75,070 112,605 225,210 322,801 645,602 968,403 1,614,005 1,936,806 3,228,010 4,842,015 9,684,030

Collatz Trajectory (194 steps to reach 1)

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

9,684,030 4,842,015 14,526,046 7,263,023 21,789,070 10,894,535 32,683,606 16,341,803 49,025,410 24,512,705 73,538,116 36,769,058 18,384,529 55,153,588 27,576,794 13,788,397 41,365,192 20,682,596 10,341,298 5,170,649 15,511,948 7,755,974 3,877,987 11,633,962 5,816,981 17,450,944 8,725,472 4,362,736 2,181,368 1,090,684 545,342 272,671 818,014 409,007 1,227,022 613,511 1,840,534 920,267 2,760,802 1,380,401 4,141,204 2,070,602 1,035,301 3,105,904 1,552,952 776,476 388,238 194,119 582,358 291,179 873,538 436,769 1,310,308 655,154 327,577 982,732 491,366 245,683 737,050 368,525

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