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Math Directory

397,459

397459
Deficient Odd Prime

397,459 factors as 397459. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 143 steps.

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Prime Factor Structure

Factorization String 397459
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 397,460
Proper Divisor Sum 1
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #397433 ← → #397469

Radix Representation

Decimal 397459
Binary 1100001000010010011 (19 bits)
Octal 0o1410223
Hexadecimal 0x61093

Divisor Catalog (2)

1 397,459

Collatz Trajectory (143 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.

397,459 1,192,378 596,189 1,788,568 894,284

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