λ
Sigma Notebook

50,418

2 × 32 × 2801
Abundant Even Composite

50,418 is even and not a perfect square. Its factorization is 2 × 3^2 × 2801 and its 12 divisors sum to 109,278.

Prime Factor Structure

Factorization String 2 × 3^2 × 2801
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 109,278
Proper Divisor Sum 58,860
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #50417 ← → #50423

Radix Representation

Decimal 50418
Binary 1100010011110010 (16 bits)
Octal 0o142362
Hexadecimal 0xC4F2

Divisor Catalog (12)

1 2 3 6 9 18 2,801 5,602 8,403 16,806 25,209 50,418

Collatz Trajectory (65 steps to reach 1)

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

50,418 25,209 75,628 37,814 18,907 56,722 28,361 85,084 42,542 21,271 63,814 31,907 95,722 47,861 143,584 71,792 35,896 17,948 8,974 4,487 13,462 6,731 20,194 10,097 30,292 15,146 7,573 22,720 11,360 5,680 2,840 1,420 710 355 1,066 533 1,600 800 400 200 100 50 25 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10

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