λ
Sigma Notebook

542,400

26 × 3 × 52 × 113
Abundant Even Composite

542,400 is even and not a perfect square. Its factorization is 2^6 × 3 × 5^2 × 113 and its 84 divisors sum to 1,795,272.

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Prime Factor Structure

Factorization String 2^6 × 3 × 5^2 × 113
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 84
Divisor Sum (σ) 1,795,272
Proper Divisor Sum 1,252,872
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #542371 ← → #542401

Radix Representation

Decimal 542400
Binary 10000100011011000000 (20 bits)
Octal 0o2043300
Hexadecimal 0x846C0

Divisor Catalog (5 of 84)

1 2 3 4 5

Collatz Trajectory (115 steps to reach 1)

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

Showing the first 5 trajectory entries; the stopping-time total above is unchanged.

542,400 271,200 135,600 67,800 33,900

More profiles

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