λ
Prime Ledger

409,238

2 × 73 × 2803
Deficient Even Composite

409,238 has the prime decomposition 2 × 73 × 2803. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 73 × 2803
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 622,488
Proper Divisor Sum 213,250
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #409237 ← → #409259

Radix Representation

Decimal 409238
Binary 1100011111010010110 (19 bits)
Octal 0o1437226
Hexadecimal 0x63E96

Divisor Catalog (8)

1 2 73 146 2,803 5,606 204,619 409,238

Collatz Trajectory (174 steps to reach 1)

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

409,238 204,619 613,858 306,929 920,788 460,394 230,197 690,592 345,296 172,648 86,324 43,162 21,581 64,744 32,372 16,186 8,093 24,280 12,140 6,070 3,035 9,106 4,553 13,660 6,830 3,415 10,246 5,123 15,370 7,685 23,056 11,528 5,764 2,882 1,441 4,324 2,162 1,081 3,244 1,622 811 2,434 1,217 3,652 1,826 913 2,740 1,370 685 2,056 1,028 514 257 772 386 193 580 290 145 436

More profiles

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