λ
Prime Ledger

4,459,242

2 × 3 × 41 × 18127
Abundant Even Composite

4,459,242 has the prime decomposition 2 × 3 × 41 × 18127. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 41 × 18127
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 9,136,512
Proper Divisor Sum 4,677,270
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #4459241 ← → #4459267

Radix Representation

Decimal 4459242
Binary 10001000000101011101010 (23 bits)
Octal 0o21005352
Hexadecimal 0x440AEA

Divisor Catalog (16)

1 2 3 6 41 82 123 246 18,127 36,254 54,381 108,762 743,207 1,486,414 2,229,621 4,459,242

Collatz Trajectory (149 steps to reach 1)

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

4,459,242 2,229,621 6,688,864 3,344,432 1,672,216 836,108 418,054 209,027 627,082 313,541 940,624 470,312 235,156 117,578 58,789 176,368 88,184 44,092 22,046 11,023 33,070 16,535 49,606 24,803 74,410 37,205 111,616 55,808 27,904 13,952 6,976 3,488 1,744 872 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137

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