λ
Match Zalai

3,455,727

3 × 11 × 23 × 29 × 157
Deficient Odd Composite

3,455,727 factors as 3 × 11 × 23 × 29 × 157. Its 32 positive divisors give a proper-divisor sum of 2,004,753, so this integer is deficient. The Collatz stopping time is 252 steps.

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Prime Factor Structure

Factorization String 3 × 11 × 23 × 29 × 157
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 5,460,480
Proper Divisor Sum 2,004,753
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #3455723 ← → #3455729

Radix Representation

Decimal 3455727
Binary 1101001011101011101111 (22 bits)
Octal 0o15135357
Hexadecimal 0x34BAEF

Divisor Catalog (5 of 32)

1 3 11 23 29

Collatz Trajectory (252 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.

3,455,727 10,367,182 5,183,591 15,550,774 7,775,387

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