λ
Harmonic Matrix

324,194

2 × 13 × 37 × 337
Deficient Even Composite

324,194 has digital root 5. The neighboring primes are 324179 and 324199; its proper-divisor sum differs from the starting integer by -108,940.

Prime Factor Structure

Factorization String 2 × 13 × 37 × 337
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 539,448
Proper Divisor Sum 215,254
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #324179 ← → #324199

Radix Representation

Decimal 324194
Binary 1001111001001100010 (19 bits)
Octal 0o1171142
Hexadecimal 0x4F262

Divisor Catalog (16)

1 2 13 26 37 74 337 481 674 962 4,381 8,762 12,469 24,938 162,097 324,194

Collatz Trajectory (65 steps to reach 1)

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

324,194 162,097 486,292 243,146 121,573 364,720 182,360 91,180 45,590 22,795 68,386 34,193 102,580 51,290 25,645 76,936 38,468 19,234 9,617 28,852 14,426 7,213 21,640 10,820 5,410 2,705 8,116 4,058 2,029 6,088 3,044 1,522 761 2,284 1,142 571 1,714 857 2,572 1,286 643 1,930 965 2,896 1,448 724 362 181 544 272 136 68 34 17 52 26 13 40 20 10

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