λ
Sigma Notebook

9,865,089

32 × 13 × 84317
Deficient Odd Composite

9,865,089 is odd and not a perfect square. Its factorization is 3^2 × 13 × 84317 and its 12 divisors sum to 15,345,876.

Prime Factor Structure

Factorization String 3^2 × 13 × 84317
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 15,345,876
Proper Divisor Sum 5,480,787
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #9865087 ← → #9865109

Radix Representation

Decimal 9865089
Binary 100101101000011110000001 (24 bits)
Octal 0o45503601
Hexadecimal 0x968781

Divisor Catalog (12)

1 3 9 13 39 117 84,317 252,951 758,853 1,096,121 3,288,363 9,865,089

Collatz Trajectory (300 steps to reach 1)

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

9,865,089 29,595,268 14,797,634 7,398,817 22,196,452 11,098,226 5,549,113 16,647,340 8,323,670 4,161,835 12,485,506 6,242,753 18,728,260 9,364,130 4,682,065 14,046,196 7,023,098 3,511,549 10,534,648 5,267,324 2,633,662 1,316,831 3,950,494 1,975,247 5,925,742 2,962,871 8,888,614 4,444,307 13,332,922 6,666,461 19,999,384 9,999,692 4,999,846 2,499,923 7,499,770 3,749,885 11,249,656 5,624,828 2,812,414 1,406,207 4,218,622 2,109,311 6,327,934 3,163,967 9,491,902 4,745,951 14,237,854 7,118,927 21,356,782 10,678,391 32,035,174 16,017,587 48,052,762 24,026,381 72,079,144 36,039,572 18,019,786 9,009,893 27,029,680 13,514,840

More profiles

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