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Math Directory

471,961

7 × 191 × 353
Deficient Odd Composite

471,961 factors as 7 × 191 × 353. Its 8 positive divisors give a proper-divisor sum of 71,783, so this integer is deficient. The Collatz stopping time is 50 steps.

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Prime Factor Structure

Factorization String 7 × 191 × 353
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 543,744
Proper Divisor Sum 71,783
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #471959 ← → #471997

Radix Representation

Decimal 471961
Binary 1110011001110011001 (19 bits)
Octal 0o1631631
Hexadecimal 0x73399

Divisor Catalog (5 of 8)

1 7 191 353 1,337

Collatz Trajectory (50 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.

471,961 1,415,884 707,942 353,971 1,061,914

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