λ
Sigma Notebook

9,031,684

22 × 701 × 3221
Deficient Even Composite

9,031,684 is even and not a perfect square. Its factorization is 2^2 × 701 × 3221 and its 12 divisors sum to 15,832,908.

Prime Factor Structure

Factorization String 2^2 × 701 × 3221
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 15,832,908
Proper Divisor Sum 6,801,224
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #9031681 ← → #9031699

Radix Representation

Decimal 9031684
Binary 100010011101000000000100 (24 bits)
Octal 0o42350004
Hexadecimal 0x89D004

Divisor Catalog (12)

1 2 4 701 1,402 2,804 3,221 6,442 12,884 2,257,921 4,515,842 9,031,684

Collatz Trajectory (88 steps to reach 1)

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

9,031,684 4,515,842 2,257,921 6,773,764 3,386,882 1,693,441 5,080,324 2,540,162 1,270,081 3,810,244 1,905,122 952,561 2,857,684 1,428,842 714,421 2,143,264 1,071,632 535,816 267,908 133,954 66,977 200,932 100,466 50,233 150,700 75,350 37,675 113,026 56,513 169,540 84,770 42,385 127,156 63,578 31,789 95,368 47,684 23,842 11,921 35,764 17,882 8,941 26,824 13,412 6,706 3,353 10,060 5,030 2,515 7,546 3,773 11,320 5,660 2,830 1,415 4,246 2,123 6,370 3,185 9,556

More profiles

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