λ
Math Directory

4,728,509

2129 × 2221
Deficient Odd Composite

4,728,509 factors as 2129 × 2221. Its 4 positive divisors give a proper-divisor sum of 4,351, so this integer is deficient. The Collatz stopping time is 87 steps.

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Prime Factor Structure

Factorization String 2129 × 2221
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 4,732,860
Proper Divisor Sum 4,351
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #4728497 ← → #4728527

Radix Representation

Decimal 4728509
Binary 10010000010011010111101 (23 bits)
Octal 0o22023275
Hexadecimal 0x4826BD

Divisor Catalog (4)

1 2,129 2,221 4,728,509

Collatz Trajectory (87 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.

4,728,509 14,185,528 7,092,764 3,546,382 1,773,191

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