λ
Matchaa Zalai

6,548,724

22 × 32 × 7 × 13 × 1999
Abundant Even Composite

6,548,724 factors as 2^2 × 3^2 × 7 × 13 × 1999. Its 72 positive divisors give a proper-divisor sum of 13,835,276, so this integer is abundant. The Collatz stopping time is 147 steps.

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Prime Factor Structure

Factorization String 2^2 × 3^2 × 7 × 13 × 1999
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 20,384,000
Proper Divisor Sum 13,835,276
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #6548701 ← → #6548743

Radix Representation

Decimal 6548724
Binary 11000111110110011110100 (23 bits)
Octal 0o30766364
Hexadecimal 0x63ECF4

Divisor Catalog (5 of 72)

1 2 3 4 6

Collatz Trajectory (147 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.

6,548,724 3,274,362 1,637,181 4,911,544 2,455,772

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