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Math Directory

9,076,416

26 × 3 × 41 × 1153
Abundant Even Composite

9,076,416 factors as 2^6 × 3 × 41 × 1153. Its 56 positive divisors give a proper-divisor sum of 15,545,328, so this integer is abundant. The Collatz stopping time is 88 steps.

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Prime Factor Structure

Factorization String 2^6 × 3 × 41 × 1153
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 24,621,744
Proper Divisor Sum 15,545,328
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9076399 ← → #9076451

Radix Representation

Decimal 9076416
Binary 100010100111111011000000 (24 bits)
Octal 0o42477300
Hexadecimal 0x8A7EC0

Divisor Catalog (5 of 56)

1 2 3 4 6

Collatz Trajectory (88 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.

9,076,416 4,538,208 2,269,104 1,134,552 567,276

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