λ
Harmonic Matrix

184,266

2 × 32 × 29 × 353
Abundant Even Composite

184,266 has digital root 9. The neighboring primes are 184259 and 184271; its proper-divisor sum differs from the starting integer by 45,648.

Prime Factor Structure

Factorization String 2 × 3^2 × 29 × 353
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 414,180
Proper Divisor Sum 229,914
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #184259 ← → #184271

Radix Representation

Decimal 184266
Binary 101100111111001010 (18 bits)
Octal 0o547712
Hexadecimal 0x2CFCA

Divisor Catalog (24)

1 2 3 6 9 18 29 58 87 174 261 353 522 706 1,059 2,118 3,177 6,354 10,237 20,474 30,711 61,422 92,133 184,266

Collatz Trajectory (134 steps to reach 1)

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

184,266 92,133 276,400 138,200 69,100 34,550 17,275 51,826 25,913 77,740 38,870 19,435 58,306 29,153 87,460 43,730 21,865 65,596 32,798 16,399 49,198 24,599 73,798 36,899 110,698 55,349 166,048 83,024 41,512 20,756 10,378 5,189 15,568 7,784 3,892 1,946 973 2,920 1,460 730 365 1,096 548 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186

More profiles

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