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Atlas › Integer Profiles › Node 11,048,147

11,048,147

112 × 17 × 41 × 131
Deficient Odd Composite

11,048,147 factors as 11^2 × 17 × 41 × 131. Its 24 positive divisors give a proper-divisor sum of 2,224,189, so this integer is deficient. The Collatz stopping time is 215 steps.

Prime Factor Structure

Factorization String 11^2 × 17 × 41 × 131
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 13,272,336
Proper Divisor Sum 2,224,189
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #11048143 ← → #11048153

Radix Representation

Decimal 11048147
Binary 101010001001010011010011 (24 bits)
Octal 0o52112323
Hexadecimal 0xA894D3

Divisor Catalog (24)

1 11 17 41 121 131 187 451 697 1,441 2,057 2,227 4,961 5,371 7,667 15,851 24,497 59,081 84,337 91,307 269,467 649,891 1,004,377 11,048,147

Collatz Trajectory (215 steps to reach 1)

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

11,048,147 33,144,442 16,572,221 49,716,664 24,858,332 12,429,166 6,214,583 18,643,750 9,321,875 27,965,626 13,982,813 41,948,440 20,974,220 10,487,110 5,243,555 15,730,666 7,865,333 23,596,000 11,798,000 5,899,000 2,949,500 1,474,750 737,375 2,212,126 1,106,063 3,318,190 1,659,095 4,977,286 2,488,643 7,465,930 3,732,965 11,198,896 5,599,448 2,799,724 1,399,862 699,931 2,099,794 1,049,897 3,149,692 1,574,846 787,423 2,362,270 1,181,135 3,543,406 1,771,703 5,315,110 2,657,555 7,972,666 3,986,333 11,959,000 5,979,500 2,989,750 1,494,875 4,484,626 2,242,313 6,726,940 3,363,470 1,681,735 5,045,206 2,522,603

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