λ
Zalai Atlas

1,727,400

23 × 3 × 52 × 2879
Abundant Even Composite

1,727,400 has the prime decomposition 2^3 × 3 × 5^2 × 2879. Its 4 distinct prime factors produce 48 positive divisors.

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Prime Factor Structure

Factorization String 2^3 × 3 × 5^2 × 2879
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 5,356,800
Proper Divisor Sum 3,629,400
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #1727393 ← → #1727417

Radix Representation

Decimal 1727400
Binary 110100101101110101000 (21 bits)
Octal 0o6455650
Hexadecimal 0x1A5BA8

Divisor Catalog (5 of 48)

1 2 3 4 5

Collatz Trajectory (189 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.

1,727,400 863,700 431,850 215,925 647,776

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