8,993,115

3² × 5 × 23 × 8689

8,993,115 factors as 3^2 × 5 × 23 × 8689. Its 24 positive divisors give a proper-divisor sum of 7,274,565, so this integer is deficient. The Collatz stopping time is 111 steps.

Prime Factor Structure

Factorization String 3^2 × 5 × 23 × 8689

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 16,267,680

Proper Divisor Sum 7,274,565

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #8993087 ← → #8993143

Radix Representation

Decimal	8993115
Binary	100010010011100101011011 (24 bits)
Octal	0o42234533
Hexadecimal	0x89395B

Divisor Catalog (24)

1 3 5 9 15 23 45 69 115 207 345 1,035 8,689 26,067 43,445 78,201 130,335 199,847 391,005 599,541 999,235 1,798,623 2,997,705 8,993,115

Collatz Trajectory (111 steps to reach 1)

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

8,993,115 26,979,346 13,489,673 40,469,020 20,234,510 10,117,255 30,351,766 15,175,883 45,527,650 22,763,825 68,291,476 34,145,738 17,072,869 51,218,608 25,609,304 12,804,652 6,402,326 3,201,163 9,603,490 4,801,745 14,405,236 7,202,618 3,601,309 10,803,928 5,401,964 2,700,982 1,350,491 4,051,474 2,025,737 6,077,212 3,038,606 1,519,303 4,557,910 2,278,955 6,836,866 3,418,433 10,255,300 5,127,650 2,563,825 7,691,476 3,845,738 1,922,869 5,768,608 2,884,304 1,442,152 721,076 360,538 180,269 540,808 270,404 135,202 67,601 202,804 101,402 50,701 152,104 76,052 38,026 19,013 57,040

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