λ
Sigma Notebook

8,022,208

26 × 163 × 769
Deficient Even Composite

8,022,208 is even and not a perfect square. Its factorization is 2^6 × 163 × 769 and its 28 divisors sum to 16,037,560.

Prime Factor Structure

Factorization String 2^6 × 163 × 769
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 16,037,560
Proper Divisor Sum 8,015,352
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #8022173 ← → #8022227

Radix Representation

Decimal 8022208
Binary 11110100110100011000000 (23 bits)
Octal 0o36464300
Hexadecimal 0x7A68C0

Divisor Catalog (28)

1 2 4 8 16 32 64 163 326 652 769 1,304 1,538 2,608 3,076 5,216 6,152 10,432 12,304 24,608 49,216 125,347 250,694 501,388 1,002,776 2,005,552 4,011,104 8,022,208

Collatz Trajectory (67 steps to reach 1)

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

8,022,208 4,011,104 2,005,552 1,002,776 501,388 250,694 125,347 376,042 188,021 564,064 282,032 141,016 70,508 35,254 17,627 52,882 26,441 79,324 39,662 19,831 59,494 29,747 89,242 44,621 133,864 66,932 33,466 16,733 50,200 25,100 12,550 6,275 18,826 9,413 28,240 14,120 7,060 3,530 1,765 5,296 2,648 1,324 662 331 994 497 1,492 746 373 1,120 560 280 140 70 35 106 53 160 80 40

More profiles

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