λ
Zalai Atlas

4,428,375

3 × 53 × 72 × 241
Deficient Odd Composite

4,428,375 has the prime decomposition 3 × 5^3 × 7^2 × 241. Its 4 distinct prime factors produce 48 positive divisors.

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Prime Factor Structure

Factorization String 3 × 5^3 × 7^2 × 241
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 8,607,456
Proper Divisor Sum 4,179,081
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #4428353 ← → #4428379

Radix Representation

Decimal 4428375
Binary 10000111001001001010111 (23 bits)
Octal 0o20711127
Hexadecimal 0x439257

Divisor Catalog (5 of 48)

1 3 5 7 15

Collatz Trajectory (118 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.

4,428,375 13,285,126 6,642,563 19,927,690 9,963,845

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