λ
Math Directory

1,105,429

132 × 31 × 211
Deficient Odd Composite

1,105,429 factors as 13^2 × 31 × 211. Its 12 positive divisors give a proper-divisor sum of 136,043, so this integer is deficient. The Collatz stopping time is 134 steps.

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Prime Factor Structure

Factorization String 13^2 × 31 × 211
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 1,241,472
Proper Divisor Sum 136,043
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #1105427 ← → #1105441

Radix Representation

Decimal 1105429
Binary 100001101111000010101 (21 bits)
Octal 0o4157025
Hexadecimal 0x10DE15

Divisor Catalog (5 of 12)

1 13 31 169 211

Collatz Trajectory (134 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.

1,105,429 3,316,288 1,658,144 829,072 414,536

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