λ
Math Directory

9,784,002

2 × 3 × 97 × 16811
Abundant Even Composite

9,784,002 factors as 2 × 3 × 97 × 16811. Its 16 positive divisors give a proper-divisor sum of 9,986,910, so this integer is abundant. The Collatz stopping time is 145 steps.

Resources

JSON

Prime Factor Structure

Factorization String 2 × 3 × 97 × 16811
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 19,770,912
Proper Divisor Sum 9,986,910
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #9783989 ← → #9784007

Radix Representation

Decimal 9784002
Binary 100101010100101011000010 (24 bits)
Octal 0o45245302
Hexadecimal 0x954AC2

Divisor Catalog (5 of 16)

1 2 3 6 97

Collatz Trajectory (145 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.

9,784,002 4,892,001 14,676,004 7,338,002 3,669,001

More profiles

← Previous Integer #9,784,001 Browse Full Index Next Integer #9,784,003 →