λ
Sigma Notebook

9,289,467

32 × 11 × 103 × 911
Deficient Odd Composite

9,289,467 is odd and not a perfect square. Its factorization is 3^2 × 11 × 103 × 911 and its 24 divisors sum to 14,796,288.

Prime Factor Structure

Factorization String 3^2 × 11 × 103 × 911
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 14,796,288
Proper Divisor Sum 5,506,821
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #9289459 ← → #9289471

Radix Representation

Decimal 9289467
Binary 100011011011111011111011 (24 bits)
Octal 0o43337373
Hexadecimal 0x8DBEFB

Divisor Catalog (24)

1 3 9 11 33 99 103 309 911 927 1,133 2,733 3,399 8,199 10,021 10,197 30,063 90,189 93,833 281,499 844,497 1,032,163 3,096,489 9,289,467

Collatz Trajectory (225 steps to reach 1)

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

9,289,467 27,868,402 13,934,201 41,802,604 20,901,302 10,450,651 31,351,954 15,675,977 47,027,932 23,513,966 11,756,983 35,270,950 17,635,475 52,906,426 26,453,213 79,359,640 39,679,820 19,839,910 9,919,955 29,759,866 14,879,933 44,639,800 22,319,900 11,159,950 5,579,975 16,739,926 8,369,963 25,109,890 12,554,945 37,664,836 18,832,418 9,416,209 28,248,628 14,124,314 7,062,157 21,186,472 10,593,236 5,296,618 2,648,309 7,944,928 3,972,464 1,986,232 993,116 496,558 248,279 744,838 372,419 1,117,258 558,629 1,675,888 837,944 418,972 209,486 104,743 314,230 157,115 471,346 235,673 707,020 353,510

More profiles

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