λ
Match Zalai

524,761

19 × 71 × 389
Deficient Odd Composite

524,761 factors as 19 × 71 × 389. Its 8 positive divisors give a proper-divisor sum of 36,839, so this integer is deficient. The Collatz stopping time is 102 steps.

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Prime Factor Structure

Factorization String 19 × 71 × 389
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 561,600
Proper Divisor Sum 36,839
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #524743 ← → #524789

Radix Representation

Decimal 524761
Binary 10000000000111011001 (20 bits)
Octal 0o2000731
Hexadecimal 0x801D9

Divisor Catalog (5 of 8)

1 19 71 389 1,349

Collatz Trajectory (102 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.

524,761 1,574,284 787,142 393,571 1,180,714

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