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8,994,825

32 × 52 × 7 × 5711
Abundant Odd Composite

8,994,825 factors as 3^2 × 5^2 × 7 × 5711. Its 36 positive divisors give a proper-divisor sum of 9,420,663, so this integer is abundant. The Collatz stopping time is 256 steps.

Prime Factor Structure

Factorization String 3^2 × 5^2 × 7 × 5711
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 18,415,488
Proper Divisor Sum 9,420,663
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #8994781 ← → #8994833

Radix Representation

Decimal 8994825
Binary 100010010100000000001001 (24 bits)
Octal 0o42240011
Hexadecimal 0x894009

Divisor Catalog (36)

1 3 5 7 9 15 21 25 35 45 63 75 105 175 225 315 525 1,575 5,711 17,133 28,555 39,977 51,399 85,665 119,931 142,775 199,885 256,995 359,793 428,325 599,655 999,425 1,284,975 1,798,965 2,998,275 8,994,825

Collatz Trajectory (256 steps to reach 1)

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

8,994,825 26,984,476 13,492,238 6,746,119 20,238,358 10,119,179 30,357,538 15,178,769 45,536,308 22,768,154 11,384,077 34,152,232 17,076,116 8,538,058 4,269,029 12,807,088 6,403,544 3,201,772 1,600,886 800,443 2,401,330 1,200,665 3,601,996 1,800,998 900,499 2,701,498 1,350,749 4,052,248 2,026,124 1,013,062 506,531 1,519,594 759,797 2,279,392 1,139,696 569,848 284,924 142,462 71,231 213,694 106,847 320,542 160,271 480,814 240,407 721,222 360,611 1,081,834 540,917 1,622,752 811,376 405,688 202,844 101,422 50,711 152,134 76,067 228,202 114,101 342,304

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