λ
Sigma Notebook

9,531,891

33 × 53 × 6661
Deficient Odd Composite

9,531,891 is odd and not a perfect square. Its factorization is 3^3 × 53 × 6661 and its 16 divisors sum to 14,389,920.

Prime Factor Structure

Factorization String 3^3 × 53 × 6661
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 14,389,920
Proper Divisor Sum 4,858,029
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9531877 ← → #9531919

Radix Representation

Decimal 9531891
Binary 100100010111000111110011 (24 bits)
Octal 0o44270763
Hexadecimal 0x9171F3

Divisor Catalog (16)

1 3 9 27 53 159 477 1,431 6,661 19,983 59,949 179,847 353,033 1,059,099 3,177,297 9,531,891

Collatz Trajectory (194 steps to reach 1)

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

9,531,891 28,595,674 14,297,837 42,893,512 21,446,756 10,723,378 5,361,689 16,085,068 8,042,534 4,021,267 12,063,802 6,031,901 18,095,704 9,047,852 4,523,926 2,261,963 6,785,890 3,392,945 10,178,836 5,089,418 2,544,709 7,634,128 3,817,064 1,908,532 954,266 477,133 1,431,400 715,700 357,850 178,925 536,776 268,388 134,194 67,097 201,292 100,646 50,323 150,970 75,485 226,456 113,228 56,614 28,307 84,922 42,461 127,384 63,692 31,846 15,923 47,770 23,885 71,656 35,828 17,914 8,957 26,872 13,436 6,718 3,359 10,078

More profiles

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