λ
Math Directory

4,247,829

33 × 157327
Deficient Odd Composite

4,247,829 factors as 3^3 × 157327. Its 8 positive divisors give a proper-divisor sum of 2,045,291, so this integer is deficient. The Collatz stopping time is 167 steps.

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Prime Factor Structure

Factorization String 3^3 × 157327
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,293,120
Proper Divisor Sum 2,045,291
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #4247827 ← → #4247863

Radix Representation

Decimal 4247829
Binary 10000001101000100010101 (23 bits)
Octal 0o20150425
Hexadecimal 0x40D115

Divisor Catalog (5 of 8)

1 3 9 27 157,327

Collatz Trajectory (167 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.

4,247,829 12,743,488 6,371,744 3,185,872 1,592,936

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