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11,627,415

33 × 5 × 43 × 2003
Deficient Odd Composite

11,627,415 factors as 3^3 × 5 × 43 × 2003. Its 32 positive divisors give a proper-divisor sum of 9,534,825, so this integer is deficient. The Collatz stopping time is 96 steps.

Prime Factor Structure

Factorization String 3^3 × 5 × 43 × 2003
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 21,162,240
Proper Divisor Sum 9,534,825
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #11627401 ← → #11627419

Radix Representation

Decimal 11627415
Binary 101100010110101110010111 (24 bits)
Octal 0o54265627
Hexadecimal 0xB16B97

Divisor Catalog (32)

1 3 5 9 15 27 43 45 129 135 215 387 645 1,161 1,935 2,003 5,805 6,009 10,015 18,027 30,045 54,081 86,129 90,135 258,387 270,405 430,645 775,161 1,291,935 2,325,483 3,875,805 11,627,415

Collatz Trajectory (96 steps to reach 1)

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

11,627,415 34,882,246 17,441,123 52,323,370 26,161,685 78,485,056 39,242,528 19,621,264 9,810,632 4,905,316 2,452,658 1,226,329 3,678,988 1,839,494 919,747 2,759,242 1,379,621 4,138,864 2,069,432 1,034,716 517,358 258,679 776,038 388,019 1,164,058 582,029 1,746,088 873,044 436,522 218,261 654,784 327,392 163,696 81,848 40,924 20,462 10,231 30,694 15,347 46,042 23,021 69,064 34,532 17,266 8,633 25,900 12,950 6,475 19,426 9,713 29,140 14,570 7,285 21,856 10,928 5,464 2,732 1,366 683 2,050

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