λ
Matchaa Zalai

8,224,249

113 × 37 × 167
Deficient Odd Composite

8,224,249 factors as 11^3 × 37 × 167. Its 16 positive divisors give a proper-divisor sum of 1,121,927, so this integer is deficient. The Collatz stopping time is 142 steps.

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Prime Factor Structure

Factorization String 11^3 × 37 × 167
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 9,346,176
Proper Divisor Sum 1,121,927
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #8224219 ← → #8224259

Radix Representation

Decimal 8224249
Binary 11111010111110111111001 (23 bits)
Octal 0o37276771
Hexadecimal 0x7D7DF9

Divisor Catalog (5 of 16)

1 11 37 121 167

Collatz Trajectory (142 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.

8,224,249 24,672,748 12,336,374 6,168,187 18,504,562

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