λ
Prime Ledger

407,526

2 × 3 × 7 × 31 × 313
Abundant Even Composite

407,526 has the prime decomposition 2 × 3 × 7 × 31 × 313. Its 5 distinct prime factors produce 32 positive divisors.

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Prime Factor Structure

Factorization String 2 × 3 × 7 × 31 × 313
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 964,608
Proper Divisor Sum 557,082
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #407521 ← → #407527

Radix Representation

Decimal 407526
Binary 1100011011111100110 (19 bits)
Octal 0o1433746
Hexadecimal 0x637E6

Divisor Catalog (5 of 32)

1 2 3 6 7

Collatz Trajectory (86 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.

407,526 203,763 611,290 305,645 916,936

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