λ
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Atlas › Integer Profiles › Node 11,091,045

11,091,045

3 × 5 × 7 × 53 × 1993
Deficient Odd Composite

11,091,045 factors as 3 × 5 × 7 × 53 × 1993. Its 32 positive divisors give a proper-divisor sum of 9,582,747, so this integer is deficient. The Collatz stopping time is 189 steps.

Prime Factor Structure

Factorization String 3 × 5 × 7 × 53 × 1993
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 20,673,792
Proper Divisor Sum 9,582,747
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #11091043 ← → #11091049

Radix Representation

Decimal 11091045
Binary 101010010011110001100101 (24 bits)
Octal 0o52236145
Hexadecimal 0xA93C65

Divisor Catalog (32)

1 3 5 7 15 21 35 53 105 159 265 371 795 1,113 1,855 1,993 5,565 5,979 9,965 13,951 29,895 41,853 69,755 105,629 209,265 316,887 528,145 739,403 1,584,435 2,218,209 3,697,015 11,091,045

Collatz Trajectory (189 steps to reach 1)

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

11,091,045 33,273,136 16,636,568 8,318,284 4,159,142 2,079,571 6,238,714 3,119,357 9,358,072 4,679,036 2,339,518 1,169,759 3,509,278 1,754,639 5,263,918 2,631,959 7,895,878 3,947,939 11,843,818 5,921,909 17,765,728 8,882,864 4,441,432 2,220,716 1,110,358 555,179 1,665,538 832,769 2,498,308 1,249,154 624,577 1,873,732 936,866 468,433 1,405,300 702,650 351,325 1,053,976 526,988 263,494 131,747 395,242 197,621 592,864 296,432 148,216 74,108 37,054 18,527 55,582 27,791 83,374 41,687 125,062 62,531 187,594 93,797 281,392 140,696 70,348

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