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Atlas › Integer Profiles › Node 11,611,008

11,611,008

27 × 32 × 10079
Abundant Even Composite

11,611,008 factors as 2^7 × 3^2 × 10079. Its 48 positive divisors give a proper-divisor sum of 21,804,192, so this integer is abundant. The Collatz stopping time is 96 steps.

Prime Factor Structure

Factorization String 2^7 × 3^2 × 10079
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 33,415,200
Proper Divisor Sum 21,804,192
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #11611001 ← → #11611013

Radix Representation

Decimal 11611008
Binary 101100010010101110000000 (24 bits)
Octal 0o54225600
Hexadecimal 0xB12B80

Divisor Catalog (48)

1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1,152 10,079 20,158 30,237 40,316 60,474 80,632 90,711 120,948 161,264 181,422 241,896 322,528 362,844 483,792 645,056 725,688 967,584 1,290,112 1,451,376 1,935,168 2,902,752 3,870,336 5,805,504 11,611,008

Collatz Trajectory (96 steps to reach 1)

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

11,611,008 5,805,504 2,902,752 1,451,376 725,688 362,844 181,422 90,711 272,134 136,067 408,202 204,101 612,304 306,152 153,076 76,538 38,269 114,808 57,404 28,702 14,351 43,054 21,527 64,582 32,291 96,874 48,437 145,312 72,656 36,328 18,164 9,082 4,541 13,624 6,812 3,406 1,703 5,110 2,555 7,666 3,833 11,500 5,750 2,875 8,626 4,313 12,940 6,470 3,235 9,706 4,853 14,560 7,280 3,640 1,820 910 455 1,366 683 2,050

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