λ
Match Zalai

5,829,572

22 × 7 × 17 × 37 × 331
Abundant Even Composite

5,829,572 factors as 2^2 × 7 × 17 × 37 × 331. Its 48 positive divisors give a proper-divisor sum of 6,887,356, so this integer is abundant. The Collatz stopping time is 183 steps.

Resources

JSON

Prime Factor Structure

Factorization String 2^2 × 7 × 17 × 37 × 331
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 12,716,928
Proper Divisor Sum 6,887,356
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #5829569 ← → #5829583

Radix Representation

Decimal 5829572
Binary 10110001111001111000100 (23 bits)
Octal 0o26171704
Hexadecimal 0x58F3C4

Divisor Catalog (5 of 48)

1 2 4 7 14

Collatz Trajectory (183 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.

5,829,572 2,914,786 1,457,393 4,372,180 2,186,090

More profiles

← Previous Integer #5,829,571 Browse Full Index Next Integer #5,829,573 →