λ
Prime Ledger

509,321

73 × 6977
Deficient Odd Composite

509,321 has the prime decomposition 73 × 6977. Its 2 distinct prime factors produce 4 positive divisors.

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Prime Factor Structure

Factorization String 73 × 6977
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 516,372
Proper Divisor Sum 7,051
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #509317 ← → #509329

Radix Representation

Decimal 509321
Binary 1111100010110001001 (19 bits)
Octal 0o1742611
Hexadecimal 0x7C589

Divisor Catalog (4)

1 73 6,977 509,321

Collatz Trajectory (107 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.

509,321 1,527,964 763,982 381,991 1,145,974

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