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Math Directory

1,519,480

23 × 5 × 37987
Abundant Even Composite

1,519,480 factors as 2^3 × 5 × 37987. Its 16 positive divisors give a proper-divisor sum of 1,899,440, so this integer is abundant. The Collatz stopping time is 80 steps.

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Prime Factor Structure

Factorization String 2^3 × 5 × 37987
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,418,920
Proper Divisor Sum 1,899,440
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #1519451 ← → #1519499

Radix Representation

Decimal 1519480
Binary 101110010111101111000 (21 bits)
Octal 0o5627570
Hexadecimal 0x172F78

Divisor Catalog (5 of 16)

1 2 4 5 8

Collatz Trajectory (80 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.

1,519,480 759,740 379,870 189,935 569,806

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