λ
Harmonic Matrix

301,738

2 × 150869
Deficient Even Composite

301,738 has digital root 4. The neighboring primes are 301711 and 301747; its proper-divisor sum differs from the starting integer by -150,866.

Prime Factor Structure

Factorization String 2 × 150869
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 452,610
Proper Divisor Sum 150,872
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #301711 ← → #301747

Radix Representation

Decimal 301738
Binary 1001001101010101010 (19 bits)
Octal 0o1115252
Hexadecimal 0x49AAA

Divisor Catalog (4)

1 2 150,869 301,738

Collatz Trajectory (127 steps to reach 1)

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

301,738 150,869 452,608 226,304 113,152 56,576 28,288 14,144 7,072 3,536 1,768 884 442 221 664 332 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334

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