λ
Sigma Notebook

9,431,991

33 × 17 × 20549
Deficient Odd Composite

9,431,991 is odd and not a perfect square. Its factorization is 3^3 × 17 × 20549 and its 16 divisors sum to 14,796,000.

Prime Factor Structure

Factorization String 3^3 × 17 × 20549
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 14,796,000
Proper Divisor Sum 5,364,009
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9431977 ← → #9432011

Radix Representation

Decimal 9431991
Binary 100011111110101110110111 (24 bits)
Octal 0o43765667
Hexadecimal 0x8FEBB7

Divisor Catalog (16)

1 3 9 17 27 51 153 459 20,549 61,647 184,941 349,333 554,823 1,047,999 3,143,997 9,431,991

Collatz Trajectory (163 steps to reach 1)

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

9,431,991 28,295,974 14,147,987 42,443,962 21,221,981 63,665,944 31,832,972 15,916,486 7,958,243 23,874,730 11,937,365 35,812,096 17,906,048 8,953,024 4,476,512 2,238,256 1,119,128 559,564 279,782 139,891 419,674 209,837 629,512 314,756 157,378 78,689 236,068 118,034 59,017 177,052 88,526 44,263 132,790 66,395 199,186 99,593 298,780 149,390 74,695 224,086 112,043 336,130 168,065 504,196 252,098 126,049 378,148 189,074 94,537 283,612 141,806 70,903 212,710 106,355 319,066 159,533 478,600 239,300 119,650 59,825

More profiles

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