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Atlas › Integer Profiles › Node 9,309,534

9,309,534

2 × 3 × 132 × 9181
Abundant Even Composite

9,309,534 factors as 2 × 3 × 13^2 × 9181. Its 24 positive divisors give a proper-divisor sum of 10,854,138, so this integer is abundant. The Collatz stopping time is 194 steps.

Prime Factor Structure

Factorization String 2 × 3 × 13^2 × 9181
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 20,163,672
Proper Divisor Sum 10,854,138
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9309511 ← → #9309569

Radix Representation

Decimal 9309534
Binary 100011100000110101011110 (24 bits)
Octal 0o43406536
Hexadecimal 0x8E0D5E

Divisor Catalog (24)

1 2 3 6 13 26 39 78 169 338 507 1,014 9,181 18,362 27,543 55,086 119,353 238,706 358,059 716,118 1,551,589 3,103,178 4,654,767 9,309,534

Collatz Trajectory (194 steps to reach 1)

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

9,309,534 4,654,767 13,964,302 6,982,151 20,946,454 10,473,227 31,419,682 15,709,841 47,129,524 23,564,762 11,782,381 35,347,144 17,673,572 8,836,786 4,418,393 13,255,180 6,627,590 3,313,795 9,941,386 4,970,693 14,912,080 7,456,040 3,728,020 1,864,010 932,005 2,796,016 1,398,008 699,004 349,502 174,751 524,254 262,127 786,382 393,191 1,179,574 589,787 1,769,362 884,681 2,654,044 1,327,022 663,511 1,990,534 995,267 2,985,802 1,492,901 4,478,704 2,239,352 1,119,676 559,838 279,919 839,758 419,879 1,259,638 629,819 1,889,458 944,729 2,834,188 1,417,094 708,547 2,125,642

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