λ
Harmonic Matrix

298,378

2 × 193 × 773
Deficient Even Composite

298,378 has digital root 1. The neighboring primes are 298373 and 298399; its proper-divisor sum differs from the starting integer by -146,288.

Prime Factor Structure

Factorization String 2 × 193 × 773
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 450,468
Proper Divisor Sum 152,090
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #298373 ← → #298399

Radix Representation

Decimal 298378
Binary 1001000110110001010 (19 bits)
Octal 0o1106612
Hexadecimal 0x48D8A

Divisor Catalog (8)

1 2 193 386 773 1,546 149,189 298,378

Collatz Trajectory (114 steps to reach 1)

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

298,378 149,189 447,568 223,784 111,892 55,946 27,973 83,920 41,960 20,980 10,490 5,245 15,736 7,868 3,934 1,967 5,902 2,951 8,854 4,427 13,282 6,641 19,924 9,962 4,981 14,944 7,472 3,736 1,868 934 467 1,402 701 2,104 1,052 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276 638 319

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