λ
Zalai Atlas

7,915,200

26 × 3 × 52 × 17 × 97
Abundant Even Composite

7,915,200 has the prime decomposition 2^6 × 3 × 5^2 × 17 × 97. Its 5 distinct prime factors produce 168 positive divisors.

Resources

JSON

Prime Factor Structure

Factorization String 2^6 × 3 × 5^2 × 17 × 97
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 168
Divisor Sum (σ) 27,779,472
Proper Divisor Sum 19,864,272
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #7915189 ← → #7915213

Radix Representation

Decimal 7915200
Binary 11110001100011011000000 (23 bits)
Octal 0o36143300
Hexadecimal 0x78C6C0

Divisor Catalog (5 of 168)

1 2 3 4 5

Collatz Trajectory (98 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.

7,915,200 3,957,600 1,978,800 989,400 494,700

More profiles

← Previous Integer #7,915,199 Browse Full Index Next Integer #7,915,201 →