λ
Prime Ledger

4,482,198

2 × 32 × 7 × 35573
Abundant Even Composite

4,482,198 has the prime decomposition 2 × 3^2 × 7 × 35573. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 35573
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 11,099,088
Proper Divisor Sum 6,616,890
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #4482173 ← → #4482209

Radix Representation

Decimal 4482198
Binary 10001000110010010010110 (23 bits)
Octal 0o21062226
Hexadecimal 0x446496

Divisor Catalog (24)

1 2 3 6 7 9 14 18 21 42 63 126 35,573 71,146 106,719 213,438 249,011 320,157 498,022 640,314 747,033 1,494,066 2,241,099 4,482,198

Collatz Trajectory (167 steps to reach 1)

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

4,482,198 2,241,099 6,723,298 3,361,649 10,084,948 5,042,474 2,521,237 7,563,712 3,781,856 1,890,928 945,464 472,732 236,366 118,183 354,550 177,275 531,826 265,913 797,740 398,870 199,435 598,306 299,153 897,460 448,730 224,365 673,096 336,548 168,274 84,137 252,412 126,206 63,103 189,310 94,655 283,966 141,983 425,950 212,975 638,926 319,463 958,390 479,195 1,437,586 718,793 2,156,380 1,078,190 539,095 1,617,286 808,643 2,425,930 1,212,965 3,638,896 1,819,448 909,724 454,862 227,431 682,294 341,147 1,023,442

More profiles

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