λ
Match Zalai

7,529,667

3 × 89 × 28201
Deficient Odd Composite

7,529,667 factors as 3 × 89 × 28201. Its 8 positive divisors give a proper-divisor sum of 2,623,053, so this integer is deficient. The Collatz stopping time is 111 steps.

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Prime Factor Structure

Factorization String 3 × 89 × 28201
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,152,720
Proper Divisor Sum 2,623,053
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #7529663 ← → #7529693

Radix Representation

Decimal 7529667
Binary 11100101110010011000011 (23 bits)
Octal 0o34562303
Hexadecimal 0x72E4C3

Divisor Catalog (5 of 8)

1 3 89 267 28,201

Collatz Trajectory (111 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.

7,529,667 22,589,002 11,294,501 33,883,504 16,941,752

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