λ
Matchaa Zalai

78,573

3 × 11 × 2381
Deficient Odd Composite

78,573 factors as 3 × 11 × 2381. Its 8 positive divisors give a proper-divisor sum of 35,763, so this integer is deficient. The Collatz stopping time is 76 steps.

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Prime Factor Structure

Factorization String 3 × 11 × 2381
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 114,336
Proper Divisor Sum 35,763
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #78571 ← → #78577

Radix Representation

Decimal 78573
Binary 10011001011101101 (17 bits)
Octal 0o231355
Hexadecimal 0x132ED

Divisor Catalog (5 of 8)

1 3 11 33 2,381

Collatz Trajectory (76 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.

78,573 235,720 117,860 58,930 29,465

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