λ
Prime Ledger

7,288,700

22 × 52 × 23 × 3169
Abundant Even Composite

7,288,700 has the prime decomposition 2^2 × 5^2 × 23 × 3169. Its 4 distinct prime factors produce 36 positive divisors.

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Prime Factor Structure

Factorization String 2^2 × 5^2 × 23 × 3169
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 16,509,360
Proper Divisor Sum 9,220,660
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #7288691 ← → #7288703

Radix Representation

Decimal 7288700
Binary 11011110011011101111100 (23 bits)
Octal 0o33633574
Hexadecimal 0x6F377C

Divisor Catalog (5 of 36)

1 2 4 5 10

Collatz Trajectory (266 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.

7,288,700 3,644,350 1,822,175 5,466,526 2,733,263

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