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Math Directory

22,667

19 × 1193
Deficient Odd Composite

22,667 factors as 19 × 1193. Its 4 positive divisors give a proper-divisor sum of 1,213, so this integer is deficient. The Collatz stopping time is 206 steps.

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Prime Factor Structure

Factorization String 19 × 1193
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 23,880
Proper Divisor Sum 1,213
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #22651 ← → #22669

Radix Representation

Decimal 22667
Binary 101100010001011 (15 bits)
Octal 0o54213
Hexadecimal 0x588B

Divisor Catalog (4)

1 19 1,193 22,667

Collatz Trajectory (206 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.

22,667 68,002 34,001 102,004 51,002

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