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Atlas › Integer Profiles › Node 11,645,148

11,645,148

22 × 3 × 41 × 23669
Abundant Even Composite

11,645,148 factors as 2^2 × 3 × 41 × 23669. Its 24 positive divisors give a proper-divisor sum of 16,190,772, so this integer is abundant. The Collatz stopping time is 153 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 41 × 23669
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 27,835,920
Proper Divisor Sum 16,190,772
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #11645147 ← → #11645173

Radix Representation

Decimal 11645148
Binary 101100011011000011011100 (24 bits)
Octal 0o54330334
Hexadecimal 0xB1B0DC

Divisor Catalog (24)

1 2 3 4 6 12 41 82 123 164 246 492 23,669 47,338 71,007 94,676 142,014 284,028 970,429 1,940,858 2,911,287 3,881,716 5,822,574 11,645,148

Collatz Trajectory (153 steps to reach 1)

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

11,645,148 5,822,574 2,911,287 8,733,862 4,366,931 13,100,794 6,550,397 19,651,192 9,825,596 4,912,798 2,456,399 7,369,198 3,684,599 11,053,798 5,526,899 16,580,698 8,290,349 24,871,048 12,435,524 6,217,762 3,108,881 9,326,644 4,663,322 2,331,661 6,994,984 3,497,492 1,748,746 874,373 2,623,120 1,311,560 655,780 327,890 163,945 491,836 245,918 122,959 368,878 184,439 553,318 276,659 829,978 414,989 1,244,968 622,484 311,242 155,621 466,864 233,432 116,716 58,358 29,179 87,538 43,769 131,308 65,654 32,827 98,482 49,241 147,724 73,862

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