λ
Math Directory

2,220,500

22 × 53 × 4441
Abundant Even Composite

2,220,500 factors as 2^2 × 5^3 × 4441. Its 24 positive divisors give a proper-divisor sum of 2,630,164, so this integer is abundant. The Collatz stopping time is 148 steps.

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Prime Factor Structure

Factorization String 2^2 × 5^3 × 4441
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 4,850,664
Proper Divisor Sum 2,630,164
Digit Sum / Digital Root 11 (Root: 2)
Adjacent Primes #2220497 ← → #2220503

Radix Representation

Decimal 2220500
Binary 1000011110000111010100 (22 bits)
Octal 0o10360724
Hexadecimal 0x21E1D4

Divisor Catalog (5 of 24)

1 2 4 5 10

Collatz Trajectory (148 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.

2,220,500 1,110,250 555,125 1,665,376 832,688

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