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Math Directory

5,376,492

22 × 32 × 11 × 13577
Abundant Even Composite

5,376,492 factors as 2^2 × 3^2 × 11 × 13577. Its 36 positive divisors give a proper-divisor sum of 9,450,684, so this integer is abundant. The Collatz stopping time is 95 steps.

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Prime Factor Structure

Factorization String 2^2 × 3^2 × 11 × 13577
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 14,827,176
Proper Divisor Sum 9,450,684
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #5376473 ← → #5376499

Radix Representation

Decimal 5376492
Binary 10100100000100111101100 (23 bits)
Octal 0o24404754
Hexadecimal 0x5209EC

Divisor Catalog (5 of 36)

1 2 3 4 6

Collatz Trajectory (95 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.

5,376,492 2,688,246 1,344,123 4,032,370 2,016,185

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