λ
Harmonic Matrix

2,002,220

22 × 5 × 11 × 19 × 479
Abundant Even Composite

2,002,220 has digital root 8. The neighboring primes are 2002211 and 2002223; its proper-divisor sum differs from the starting integer by 833,960.

Resources

JSON

Prime Factor Structure

Factorization String 2^2 × 5 × 11 × 19 × 479
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 4,838,400
Proper Divisor Sum 2,836,180
Digit Sum / Digital Root 8 (Root: 8)
Adjacent Primes #2002211 ← → #2002223

Radix Representation

Decimal 2002220
Binary 111101000110100101100 (21 bits)
Octal 0o7506454
Hexadecimal 0x1E8D2C

Divisor Catalog (5 of 48)

1 2 4 5 10

Collatz Trajectory (140 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.

2,002,220 1,001,110 500,555 1,501,666 750,833

More profiles

← Previous Integer #2,002,219 Browse Full Index Next Integer #2,002,221 →