λ
Zalai Atlas

742,590

2 × 32 × 5 × 37 × 223
Abundant Even Composite

742,590 has the prime decomposition 2 × 3^2 × 5 × 37 × 223. Its 5 distinct prime factors produce 48 positive divisors.

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Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 37 × 223
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 1,991,808
Proper Divisor Sum 1,249,218
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #742579 ← → #742591

Radix Representation

Decimal 742590
Binary 10110101010010111110 (20 bits)
Octal 0o2652276
Hexadecimal 0xB54BE

Divisor Catalog (5 of 48)

1 2 3 5 6

Collatz Trajectory (180 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.

742,590 371,295 1,113,886 556,943 1,670,830

More profiles

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