λ
Ratio Atlas

7,842,184

23 × 7 × 131 × 1069
Abundant Even Composite

7,842,184 factors as 2^3 × 7 × 131 × 1069. Its 32 positive divisors give a proper-divisor sum of 9,106,616, so this integer is abundant. The Collatz stopping time is 155 steps.

Resources

JSON

Prime Factor Structure

Factorization String 2^3 × 7 × 131 × 1069
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 16,948,800
Proper Divisor Sum 9,106,616
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #7842167 ← → #7842199

Radix Representation

Decimal 7842184
Binary 11101111010100110001000 (23 bits)
Octal 0o35724610
Hexadecimal 0x77A988

Divisor Catalog (5 of 32)

1 2 4 7 8

Collatz Trajectory (155 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.

7,842,184 3,921,092 1,960,546 980,273 2,940,820

More profiles

← Previous Integer #7,842,183 Browse Full Index Next Integer #7,842,185 →