λ
Math Directory

8,508,572

22 × 2127143
Deficient Even Composite

8,508,572 factors as 2^2 × 2127143. Its 6 positive divisors give a proper-divisor sum of 6,381,436, so this integer is deficient. The Collatz stopping time is 106 steps.

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Prime Factor Structure

Factorization String 2^2 × 2127143
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 14,890,008
Proper Divisor Sum 6,381,436
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #8508559 ← → #8508583

Radix Representation

Decimal 8508572
Binary 100000011101010010011100 (24 bits)
Octal 0o40352234
Hexadecimal 0x81D49C

Divisor Catalog (5 of 6)

1 2 4 2,127,143 4,254,286

Collatz Trajectory (106 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.

8,508,572 4,254,286 2,127,143 6,381,430 3,190,715

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