λ
Matchaa Zalai

870,688

25 × 7 × 132 × 23
Abundant Even Composite

870,688 factors as 2^5 × 7 × 13^2 × 23. Its 72 positive divisors give a proper-divisor sum of 1,342,880, so this integer is abundant. The Collatz stopping time is 188 steps.

Resources

JSON

Prime Factor Structure

Factorization String 2^5 × 7 × 13^2 × 23
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 2,213,568
Proper Divisor Sum 1,342,880
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #870679 ← → #870691

Radix Representation

Decimal 870688
Binary 11010100100100100000 (20 bits)
Octal 0o3244440
Hexadecimal 0xD4920

Divisor Catalog (5 of 72)

1 2 4 7 8

Collatz Trajectory (188 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.

870,688 435,344 217,672 108,836 54,418

More profiles

← Previous Integer #870,687 Browse Full Index Next Integer #870,689 →