λ
Sigma Notebook

8,212,923

32 × 31 × 29437
Deficient Odd Composite

8,212,923 is odd and not a perfect square. Its factorization is 3^2 × 31 × 29437 and its 12 divisors sum to 12,246,208.

Prime Factor Structure

Factorization String 3^2 × 31 × 29437
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 12,246,208
Proper Divisor Sum 4,033,285
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #8212913 ← → #8212931

Radix Representation

Decimal 8212923
Binary 11111010101000110111011 (23 bits)
Octal 0o37250673
Hexadecimal 0x7D51BB

Divisor Catalog (12)

1 3 9 31 93 279 29,437 88,311 264,933 912,547 2,737,641 8,212,923

Collatz Trajectory (230 steps to reach 1)

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

8,212,923 24,638,770 12,319,385 36,958,156 18,479,078 9,239,539 27,718,618 13,859,309 41,577,928 20,788,964 10,394,482 5,197,241 15,591,724 7,795,862 3,897,931 11,693,794 5,846,897 17,540,692 8,770,346 4,385,173 13,155,520 6,577,760 3,288,880 1,644,440 822,220 411,110 205,555 616,666 308,333 925,000 462,500 231,250 115,625 346,876 173,438 86,719 260,158 130,079 390,238 195,119 585,358 292,679 878,038 439,019 1,317,058 658,529 1,975,588 987,794 493,897 1,481,692 740,846 370,423 1,111,270 555,635 1,666,906 833,453 2,500,360 1,250,180 625,090 312,545

More profiles

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