λ
Math Directory

8,434,053

32 × 97 × 9661
Deficient Odd Composite

8,434,053 factors as 3^2 × 97 × 9661. Its 12 positive divisors give a proper-divisor sum of 3,875,335, so this integer is deficient. The Collatz stopping time is 106 steps.

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Prime Factor Structure

Factorization String 3^2 × 97 × 9661
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 12,309,388
Proper Divisor Sum 3,875,335
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #8434037 ← → #8434073

Radix Representation

Decimal 8434053
Binary 100000001011000110000101 (24 bits)
Octal 0o40130605
Hexadecimal 0x80B185

Divisor Catalog (5 of 12)

1 3 9 97 291

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.

8,434,053 25,302,160 12,651,080 6,325,540 3,162,770

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