λ
Sigma Notebook

8,223,608

23 × 149 × 6899
Deficient Even Composite

8,223,608 is even and not a perfect square. Its factorization is 2^3 × 149 × 6899 and its 16 divisors sum to 15,525,000.

Prime Factor Structure

Factorization String 2^3 × 149 × 6899
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 15,525,000
Proper Divisor Sum 7,301,392
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #8223601 ← → #8223653

Radix Representation

Decimal 8223608
Binary 11111010111101101111000 (23 bits)
Octal 0o37275570
Hexadecimal 0x7D7B78

Divisor Catalog (16)

1 2 4 8 149 298 596 1,192 6,899 13,798 27,596 55,192 1,027,951 2,055,902 4,111,804 8,223,608

Collatz Trajectory (168 steps to reach 1)

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

8,223,608 4,111,804 2,055,902 1,027,951 3,083,854 1,541,927 4,625,782 2,312,891 6,938,674 3,469,337 10,408,012 5,204,006 2,602,003 7,806,010 3,903,005 11,709,016 5,854,508 2,927,254 1,463,627 4,390,882 2,195,441 6,586,324 3,293,162 1,646,581 4,939,744 2,469,872 1,234,936 617,468 308,734 154,367 463,102 231,551 694,654 347,327 1,041,982 520,991 1,562,974 781,487 2,344,462 1,172,231 3,516,694 1,758,347 5,275,042 2,637,521 7,912,564 3,956,282 1,978,141 5,934,424 2,967,212 1,483,606 741,803 2,225,410 1,112,705 3,338,116 1,669,058 834,529 2,503,588 1,251,794 625,897 1,877,692

More profiles

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