λ
Harmonic Matrix

324,189

33 × 12007
Deficient Odd Composite

324,189 has digital root 9. The neighboring primes are 324179 and 324199; its proper-divisor sum differs from the starting integer by -168,058.

Prime Factor Structure

Factorization String 3^3 × 12007
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 480,320
Proper Divisor Sum 156,131
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #324179 ← → #324199

Radix Representation

Decimal 324189
Binary 1001111001001011101 (19 bits)
Octal 0o1171135
Hexadecimal 0x4F25D

Divisor Catalog (8)

1 3 9 27 12,007 36,021 108,063 324,189

Collatz Trajectory (78 steps to reach 1)

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

324,189 972,568 486,284 243,142 121,571 364,714 182,357 547,072 273,536 136,768 68,384 34,192 17,096 8,548 4,274 2,137 6,412 3,206 1,603 4,810 2,405 7,216 3,608 1,804 902 451 1,354 677 2,032 1,016 508 254 127 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205 616 308 154 77 232 116 58

More profiles

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