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Math Directory

1,233,987

3 × 37 × 11117
Deficient Odd Composite

1,233,987 factors as 3 × 37 × 11117. Its 8 positive divisors give a proper-divisor sum of 455,949, so this integer is deficient. The Collatz stopping time is 111 steps.

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Prime Factor Structure

Factorization String 3 × 37 × 11117
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,689,936
Proper Divisor Sum 455,949
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #1233983 ← → #1234001

Radix Representation

Decimal 1233987
Binary 100101101010001000011 (21 bits)
Octal 0o4552103
Hexadecimal 0x12D443

Divisor Catalog (5 of 8)

1 3 37 111 11,117

Collatz Trajectory (111 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.

1,233,987 3,701,962 1,850,981 5,552,944 2,776,472

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