λ
Math Directory

2,002,525

52 × 7 × 11443
Deficient Odd Composite

2,002,525 factors as 5^2 × 7 × 11443. Its 12 positive divisors give a proper-divisor sum of 835,587, so this integer is deficient. The Collatz stopping time is 153 steps.

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Prime Factor Structure

Factorization String 5^2 × 7 × 11443
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 2,838,112
Proper Divisor Sum 835,587
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #2002523 ← → #2002531

Radix Representation

Decimal 2002525
Binary 111101000111001011101 (21 bits)
Octal 0o7507135
Hexadecimal 0x1E8E5D

Divisor Catalog (5 of 12)

1 5 7 25 35

Collatz Trajectory (153 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.

2,002,525 6,007,576 3,003,788 1,501,894 750,947

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