λ
Sigma Notebook

9,524,097

32 × 11 × 17 × 5659
Deficient Odd Composite

9,524,097 is odd and not a perfect square. Its factorization is 3^2 × 11 × 17 × 5659 and its 24 divisors sum to 15,893,280.

Prime Factor Structure

Factorization String 3^2 × 11 × 17 × 5659
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 15,893,280
Proper Divisor Sum 6,369,183
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9524087 ← → #9524129

Radix Representation

Decimal 9524097
Binary 100100010101001110000001 (24 bits)
Octal 0o44251601
Hexadecimal 0x915381

Divisor Catalog (24)

1 3 9 11 17 33 51 99 153 187 561 1,683 5,659 16,977 50,931 62,249 96,203 186,747 288,609 560,241 865,827 1,058,233 3,174,699 9,524,097

Collatz Trajectory (269 steps to reach 1)

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

9,524,097 28,572,292 14,286,146 7,143,073 21,429,220 10,714,610 5,357,305 16,071,916 8,035,958 4,017,979 12,053,938 6,026,969 18,080,908 9,040,454 4,520,227 13,560,682 6,780,341 20,341,024 10,170,512 5,085,256 2,542,628 1,271,314 635,657 1,906,972 953,486 476,743 1,430,230 715,115 2,145,346 1,072,673 3,218,020 1,609,010 804,505 2,413,516 1,206,758 603,379 1,810,138 905,069 2,715,208 1,357,604 678,802 339,401 1,018,204 509,102 254,551 763,654 381,827 1,145,482 572,741 1,718,224 859,112 429,556 214,778 107,389 322,168 161,084 80,542 40,271 120,814 60,407

More profiles

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