λ
Sigma Notebook

542,826

2 × 32 × 53 × 569
Abundant Even Composite

542,826 is even and not a perfect square. Its factorization is 2 × 3^2 × 53 × 569 and its 24 divisors sum to 1,200,420.

Prime Factor Structure

Factorization String 2 × 3^2 × 53 × 569
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 1,200,420
Proper Divisor Sum 657,594
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #542821 ← → #542831

Radix Representation

Decimal 542826
Binary 10000100100001101010 (20 bits)
Octal 0o2044152
Hexadecimal 0x8486A

Divisor Catalog (24)

1 2 3 6 9 18 53 106 159 318 477 569 954 1,138 1,707 3,414 5,121 10,242 30,157 60,314 90,471 180,942 271,413 542,826

Collatz Trajectory (115 steps to reach 1)

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

542,826 271,413 814,240 407,120 203,560 101,780 50,890 25,445 76,336 38,168 19,084 9,542 4,771 14,314 7,157 21,472 10,736 5,368 2,684 1,342 671 2,014 1,007 3,022 1,511 4,534 2,267 6,802 3,401 10,204 5,102 2,551 7,654 3,827 11,482 5,741 17,224 8,612 4,306 2,153 6,460 3,230 1,615 4,846 2,423 7,270 3,635 10,906 5,453 16,360 8,180 4,090 2,045 6,136 3,068 1,534 767 2,302 1,151 3,454

More profiles

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