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Math Directory

9,106,010

2 × 5 × 509 × 1789
Deficient Even Composite

9,106,010 factors as 2 × 5 × 509 × 1789. Its 16 positive divisors give a proper-divisor sum of 7,326,190, so this integer is deficient. The Collatz stopping time is 132 steps.

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Prime Factor Structure

Factorization String 2 × 5 × 509 × 1789
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 16,432,200
Proper Divisor Sum 7,326,190
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #9106007 ← → #9106039

Radix Representation

Decimal 9106010
Binary 100010101111001001011010 (24 bits)
Octal 0o42571132
Hexadecimal 0x8AF25A

Divisor Catalog (5 of 16)

1 2 5 10 509

Collatz Trajectory (132 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.

9,106,010 4,553,005 13,659,016 6,829,508 3,414,754

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