λ
Harmonic Matrix

2,216,220

22 × 3 × 5 × 43 × 859
Abundant Even Composite

2,216,220 has digital root 6. The neighboring primes are 2216213 and 2216231; its proper-divisor sum differs from the starting integer by 1,924,680.

Resources

JSON

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 43 × 859
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 6,357,120
Proper Divisor Sum 4,140,900
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #2216213 ← → #2216231

Radix Representation

Decimal 2216220
Binary 1000011101000100011100 (22 bits)
Octal 0o10350434
Hexadecimal 0x21D11C

Divisor Catalog (5 of 48)

1 2 3 4 5

Collatz Trajectory (179 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.

2,216,220 1,108,110 554,055 1,662,166 831,083

More profiles

← Previous Integer #2,216,219 Browse Full Index Next Integer #2,216,221 →