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Math Directory

1,510,082

2 × 72 × 19 × 811
Deficient Even Composite

1,510,082 factors as 2 × 7^2 × 19 × 811. Its 24 positive divisors give a proper-divisor sum of 1,266,958, so this integer is deficient. The Collatz stopping time is 93 steps.

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Prime Factor Structure

Factorization String 2 × 7^2 × 19 × 811
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 2,777,040
Proper Divisor Sum 1,266,958
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #1510057 ← → #1510087

Radix Representation

Decimal 1510082
Binary 101110000101011000010 (21 bits)
Octal 0o5605302
Hexadecimal 0x170AC2

Divisor Catalog (5 of 24)

1 2 7 14 19

Collatz Trajectory (93 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.

1,510,082 755,041 2,265,124 1,132,562 566,281

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