λ
Harmonic Matrix

409,898

2 × 311 × 659
Deficient Even Composite

409,898 has digital root 2. The neighboring primes are 409897 and 409901; its proper-divisor sum differs from the starting integer by -202,036.

Prime Factor Structure

Factorization String 2 × 311 × 659
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 617,760
Proper Divisor Sum 207,862
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #409897 ← → #409901

Radix Representation

Decimal 409898
Binary 1100100000100101010 (19 bits)
Octal 0o1440452
Hexadecimal 0x6412A

Divisor Catalog (8)

1 2 311 622 659 1,318 204,949 409,898

Collatz Trajectory (130 steps to reach 1)

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

409,898 204,949 614,848 307,424 153,712 76,856 38,428 19,214 9,607 28,822 14,411 43,234 21,617 64,852 32,426 16,213 48,640 24,320 12,160 6,080 3,040 1,520 760 380 190 95 286 143 430 215 646 323 970 485 1,456 728 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445

More profiles

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