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11,633,545

5 × 7 × 112 × 41 × 67
Deficient Odd Composite

11,633,545 factors as 5 × 7 × 11^2 × 41 × 67. Its 48 positive divisors give a proper-divisor sum of 6,599,159, so this integer is deficient. The Collatz stopping time is 109 steps.

Prime Factor Structure

Factorization String 5 × 7 × 11^2 × 41 × 67
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 18,232,704
Proper Divisor Sum 6,599,159
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #11633537 ← → #11633549

Radix Representation

Decimal 11633545
Binary 101100011000001110001001 (24 bits)
Octal 0o54301611
Hexadecimal 0xB18389

Divisor Catalog (48)

1 5 7 11 35 41 55 67 77 121 205 287 335 385 451 469 605 737 847 1,435 2,255 2,345 2,747 3,157 3,685 4,235 4,961 5,159 8,107 13,735 15,785 19,229 24,805 25,795 30,217 34,727 40,535 56,749 96,145 151,085 173,635 211,519 283,745 332,387 1,057,595 1,661,935 2,326,709 11,633,545

Collatz Trajectory (109 steps to reach 1)

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

11,633,545 34,900,636 17,450,318 8,725,159 26,175,478 13,087,739 39,263,218 19,631,609 58,894,828 29,447,414 14,723,707 44,171,122 22,085,561 66,256,684 33,128,342 16,564,171 49,692,514 24,846,257 74,538,772 37,269,386 18,634,693 55,904,080 27,952,040 13,976,020 6,988,010 3,494,005 10,482,016 5,241,008 2,620,504 1,310,252 655,126 327,563 982,690 491,345 1,474,036 737,018 368,509 1,105,528 552,764 276,382 138,191 414,574 207,287 621,862 310,931 932,794 466,397 1,399,192 699,596 349,798 174,899 524,698 262,349 787,048 393,524 196,762 98,381 295,144 147,572 73,786

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