λ
Prime Ledger

559,682

2 × 234
Deficient Even Composite

559,682 has the prime decomposition 2 × 23^4. Its 2 distinct prime factors produce 10 positive divisors.

Prime Factor Structure

Factorization String 2 × 23^4
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 10
Divisor Sum (σ) 877,683
Proper Divisor Sum 318,001
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #559679 ← → #559687

Radix Representation

Decimal 559682
Binary 10001000101001000010 (20 bits)
Octal 0o2105102
Hexadecimal 0x88A42

Divisor Catalog (10)

1 2 23 46 529 1,058 12,167 24,334 279,841 559,682

Collatz Trajectory (115 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

559,682 279,841 839,524 419,762 209,881 629,644 314,822 157,411 472,234 236,117 708,352 354,176 177,088 88,544 44,272 22,136 11,068 5,534 2,767 8,302 4,151 12,454 6,227 18,682 9,341 28,024 14,012 7,006 3,503 10,510 5,255 15,766 7,883 23,650 11,825 35,476 17,738 8,869 26,608 13,304 6,652 3,326 1,663 4,990 2,495 7,486 3,743 11,230 5,615 16,846 8,423 25,270 12,635 37,906 18,953 56,860 28,430 14,215 42,646 21,323

More profiles

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