λ
Sigma Notebook

3,752,200

23 × 52 × 73 × 257
Abundant Even Composite

3,752,200 is even and not a perfect square. Its factorization is 2^3 × 5^2 × 73 × 257 and its 48 divisors sum to 8,877,780.

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Prime Factor Structure

Factorization String 2^3 × 5^2 × 73 × 257
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 8,877,780
Proper Divisor Sum 5,125,580
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #3752191 ← → #3752219

Radix Representation

Decimal 3752200
Binary 1110010100000100001000 (22 bits)
Octal 0o16240410
Hexadecimal 0x394108

Divisor Catalog (5 of 48)

1 2 4 5 8

Collatz Trajectory (172 steps to reach 1)

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

Showing the first 5 trajectory entries; the stopping-time total above is unchanged.

3,752,200 1,876,100 938,050 469,025 1,407,076

More profiles

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