λ
Prime Ledger

7,696,200

23 × 3 × 52 × 101 × 127
Abundant Even Composite

7,696,200 has the prime decomposition 2^3 × 3 × 5^2 × 101 × 127. Its 5 distinct prime factors produce 96 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 5^2 × 101 × 127
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 24,284,160
Proper Divisor Sum 16,587,960
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #7696193 ← → #7696201

Radix Representation

Decimal 7696200
Binary 11101010110111101001000 (23 bits)
Octal 0o35267510
Hexadecimal 0x756F48

Divisor Catalog (60 of 96)

Collatz Trajectory (129 steps to reach 1)

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

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