λ
Matchaa Zalai

741,615

3 × 5 × 72 × 1009
Deficient Odd Composite

741,615 factors as 3 × 5 × 7^2 × 1009. Its 24 positive divisors give a proper-divisor sum of 640,065, so this integer is deficient. The Collatz stopping time is 167 steps.

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Prime Factor Structure

Factorization String 3 × 5 × 7^2 × 1009
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 1,381,680
Proper Divisor Sum 640,065
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #741599 ← → #741641

Radix Representation

Decimal 741615
Binary 10110101000011101111 (20 bits)
Octal 0o2650357
Hexadecimal 0xB50EF

Divisor Catalog (5 of 24)

1 3 5 7 15

Collatz Trajectory (167 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.

741,615 2,224,846 1,112,423 3,337,270 1,668,635

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