λ
Match Zalai

2,826,760

23 × 5 × 17 × 4157
Abundant Even Composite

2,826,760 factors as 2^3 × 5 × 17 × 4157. Its 32 positive divisors give a proper-divisor sum of 3,909,200, so this integer is abundant. The Collatz stopping time is 169 steps.

Resources

JSON

Prime Factor Structure

Factorization String 2^3 × 5 × 17 × 4157
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,735,960
Proper Divisor Sum 3,909,200
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #2826757 ← → #2826773

Radix Representation

Decimal 2826760
Binary 1010110010001000001000 (22 bits)
Octal 0o12621010
Hexadecimal 0x2B2208

Divisor Catalog (5 of 32)

1 2 4 5 8

Collatz Trajectory (169 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.

2,826,760 1,413,380 706,690 353,345 1,060,036

More profiles

← Previous Integer #2,826,759 Browse Full Index Next Integer #2,826,761 →