λ
Matchaa Zalai

125,133

3 × 53 × 787
Deficient Odd Composite

125,133 factors as 3 × 53 × 787. Its 8 positive divisors give a proper-divisor sum of 45,075, so this integer is deficient. The Collatz stopping time is 110 steps.

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Prime Factor Structure

Factorization String 3 × 53 × 787
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 170,208
Proper Divisor Sum 45,075
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #125131 ← → #125141

Radix Representation

Decimal 125133
Binary 11110100011001101 (17 bits)
Octal 0o364315
Hexadecimal 0x1E8CD

Divisor Catalog (5 of 8)

1 3 53 159 787

Collatz Trajectory (110 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.

125,133 375,400 187,700 93,850 46,925

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