λ
Prime Ledger

4,950,128

24 × 17 × 18199
Abundant Even Composite

4,950,128 has the prime decomposition 2^4 × 17 × 18199. Its 3 distinct prime factors produce 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 17 × 18199
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 10,155,600
Proper Divisor Sum 5,205,472
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #4950109 ← → #4950131

Radix Representation

Decimal 4950128
Binary 10010111000100001110000 (23 bits)
Octal 0o22704160
Hexadecimal 0x4B8870

Divisor Catalog (20)

1 2 4 8 16 17 34 68 136 272 18,199 36,398 72,796 145,592 291,184 309,383 618,766 1,237,532 2,475,064 4,950,128

Collatz Trajectory (131 steps to reach 1)

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

4,950,128 2,475,064 1,237,532 618,766 309,383 928,150 464,075 1,392,226 696,113 2,088,340 1,044,170 522,085 1,566,256 783,128 391,564 195,782 97,891 293,674 146,837 440,512 220,256 110,128 55,064 27,532 13,766 6,883 20,650 10,325 30,976 15,488 7,744 3,872 1,936 968 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890

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