λ
Harmonic Matrix

417,674

2 × 208837
Deficient Even Composite

417,674 has digital root 2. The neighboring primes are 417671 and 417691; its proper-divisor sum differs from the starting integer by -208,834.

Prime Factor Structure

Factorization String 2 × 208837
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 626,514
Proper Divisor Sum 208,840
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #417671 ← → #417691

Radix Representation

Decimal 417674
Binary 1100101111110001010 (19 bits)
Octal 0o1457612
Hexadecimal 0x65F8A

Divisor Catalog (4)

1 2 208,837 417,674

Collatz Trajectory (143 steps to reach 1)

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

417,674 208,837 626,512 313,256 156,628 78,314 39,157 117,472 58,736 29,368 14,684 7,342 3,671 11,014 5,507 16,522 8,261 24,784 12,392 6,196 3,098 1,549 4,648 2,324 1,162 581 1,744 872 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466

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