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Atlas › Integer Profiles › Node 8,993,595

8,993,595

3 × 5 × 13 × 17 × 2713
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 13 × 17 × 2713
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 16,414,272
Proper Divisor Sum 7,420,677
Digit Sum / Digital Root 48 (Root: 3)
Adjacent Primes #8993587 ← → #8993599

Radix Representation

Decimal 8993595
Binary 100010010011101100111011 (24 bits)
Octal 0o42235473
Hexadecimal 0x893B3B

Divisor Catalog (32)

1 3 5 13 15 17 39 51 65 85 195 221 255 663 1,105 2,713 3,315 8,139 13,565 35,269 40,695 46,121 105,807 138,363 176,345 230,605 529,035 599,573 691,815 1,798,719 2,997,865 8,993,595

Collatz Trajectory (168 steps to reach 1)

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

8,993,595 26,980,786 13,490,393 40,471,180 20,235,590 10,117,795 30,353,386 15,176,693 45,530,080 22,765,040 11,382,520 5,691,260 2,845,630 1,422,815 4,268,446 2,134,223 6,402,670 3,201,335 9,604,006 4,802,003 14,406,010 7,203,005 21,609,016 10,804,508 5,402,254 2,701,127 8,103,382 4,051,691 12,155,074 6,077,537 18,232,612 9,116,306 4,558,153 13,674,460 6,837,230 3,418,615 10,255,846 5,127,923 15,383,770 7,691,885 23,075,656 11,537,828 5,768,914 2,884,457 8,653,372 4,326,686 2,163,343 6,490,030 3,245,015 9,735,046 4,867,523 14,602,570 7,301,285 21,903,856 10,951,928 5,475,964 2,737,982 1,368,991 4,106,974 2,053,487

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