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Math Directory

7,336,264

23 × 13 × 23 × 3067
Abundant Even Composite

7,336,264 factors as 2^3 × 13 × 23 × 3067. Its 32 positive divisors give a proper-divisor sum of 8,126,456, so this integer is abundant. The Collatz stopping time is 173 steps.

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Prime Factor Structure

Factorization String 2^3 × 13 × 23 × 3067
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 15,462,720
Proper Divisor Sum 8,126,456
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #7336169 ← → #7336267

Radix Representation

Decimal 7336264
Binary 11011111111000101001000 (23 bits)
Octal 0o33770510
Hexadecimal 0x6FF148

Divisor Catalog (5 of 32)

1 2 4 8 13

Collatz Trajectory (173 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.

7,336,264 3,668,132 1,834,066 917,033 2,751,100

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