λ
Matchaa Zalai

89,512

23 × 67 × 167
Deficient Even Composite

89,512 factors as 2^3 × 67 × 167. Its 16 positive divisors give a proper-divisor sum of 81,848, so this integer is deficient. The Collatz stopping time is 71 steps.

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Prime Factor Structure

Factorization String 2^3 × 67 × 167
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 171,360
Proper Divisor Sum 81,848
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #89501 ← → #89513

Radix Representation

Decimal 89512
Binary 10101110110101000 (17 bits)
Octal 0o256650
Hexadecimal 0x15DA8

Divisor Catalog (5 of 16)

1 2 4 8 67

Collatz Trajectory (71 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.

89,512 44,756 22,378 11,189 33,568

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