λ
Ratio Atlas

7,643,264

27 × 211 × 283
Abundant Even Composite

7,643,264 factors as 2^7 × 211 × 283. Its 32 positive divisors give a proper-divisor sum of 7,709,776, so this integer is abundant. The Collatz stopping time is 80 steps.

Prime Factor Structure

Factorization String 2^7 × 211 × 283
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 15,353,040
Proper Divisor Sum 7,709,776
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #7643257 ← → #7643287

Radix Representation

Decimal 7643264
Binary 11101001010000010000000 (23 bits)
Octal 0o35120200
Hexadecimal 0x74A080

Divisor Catalog (32)

Collatz Trajectory (80 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

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