λ
Prime Ledger

3,728,552

23 × 466069
Deficient Even Composite

3,728,552 has the prime decomposition 2^3 × 466069. Its 2 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 466069
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,991,050
Proper Divisor Sum 3,262,498
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #3728537 ← → #3728561

Radix Representation

Decimal 3728552
Binary 1110001110010010101000 (22 bits)
Octal 0o16162250
Hexadecimal 0x38E4A8

Divisor Catalog (8)

1 2 4 8 466,069 932,138 1,864,276 3,728,552

Collatz Trajectory (66 steps to reach 1)

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

3,728,552 1,864,276 932,138 466,069 1,398,208 699,104 349,552 174,776 87,388 43,694 21,847 65,542 32,771 98,314 49,157 147,472 73,736 36,868 18,434 9,217 27,652 13,826 6,913 20,740 10,370 5,185 15,556 7,778 3,889 11,668 5,834 2,917 8,752 4,376 2,188 1,094 547 1,642 821 2,464 1,232 616 308 154 77 232 116 58 29 88 44 22 11 34 17 52 26 13 40 20

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