λ
Prime Ledger

404,509

7 × 57787
Deficient Odd Composite

404,509 has the prime decomposition 7 × 57787. Its 2 distinct prime factors produce 4 positive divisors.

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Prime Factor Structure

Factorization String 7 × 57787
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 462,304
Proper Divisor Sum 57,795
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #404507 ← → #404513

Radix Representation

Decimal 404509
Binary 1100010110000011101 (19 bits)
Octal 0o1426035
Hexadecimal 0x62C1D

Divisor Catalog (4)

1 7 57,787 404,509

Collatz Trajectory (205 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.

404,509 1,213,528 606,764 303,382 151,691

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