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Zalai Atlas

7,257,725

52 × 17 × 17077
Deficient Odd Composite

7,257,725 has the prime decomposition 5^2 × 17 × 17077. Its 3 distinct prime factors produce 12 positive divisors.

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Prime Factor Structure

Factorization String 5^2 × 17 × 17077
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 9,529,524
Proper Divisor Sum 2,271,799
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #7257721 ← → #7257739

Radix Representation

Decimal 7257725
Binary 11011101011111001111101 (23 bits)
Octal 0o33537175
Hexadecimal 0x6EBE7D

Divisor Catalog (5 of 12)

1 5 17 25 85

Collatz Trajectory (191 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.

7,257,725 21,773,176 10,886,588 5,443,294 2,721,647

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