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Atlas › Integer Profiles › Node 9,582,012

9,582,012

22 × 32 × 11 × 24197
Abundant Even Composite

9,582,012 factors as 2^2 × 3^2 × 11 × 24197. Its 36 positive divisors give a proper-divisor sum of 16,842,204, so this integer is abundant. The Collatz stopping time is 132 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 11 × 24197
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 26,424,216
Proper Divisor Sum 16,842,204
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #9582011 ← → #9582017

Radix Representation

Decimal 9582012
Binary 100100100011010110111100 (24 bits)
Octal 0o44432674
Hexadecimal 0x9235BC

Divisor Catalog (36)

1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 24,197 48,394 72,591 96,788 145,182 217,773 266,167 290,364 435,546 532,334 798,501 871,092 1,064,668 1,597,002 2,395,503 3,194,004 4,791,006 9,582,012

Collatz Trajectory (132 steps to reach 1)

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

9,582,012 4,791,006 2,395,503 7,186,510 3,593,255 10,779,766 5,389,883 16,169,650 8,084,825 24,254,476 12,127,238 6,063,619 18,190,858 9,095,429 27,286,288 13,643,144 6,821,572 3,410,786 1,705,393 5,116,180 2,558,090 1,279,045 3,837,136 1,918,568 959,284 479,642 239,821 719,464 359,732 179,866 89,933 269,800 134,900 67,450 33,725 101,176 50,588 25,294 12,647 37,942 18,971 56,914 28,457 85,372 42,686 21,343 64,030 32,015 96,046 48,023 144,070 72,035 216,106 108,053 324,160 162,080 81,040 40,520 20,260 10,130

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