λ
Prime Ledger

9,027,720

23 × 33 × 5 × 13 × 643
Abundant Even Composite

9,027,720 has the prime decomposition 2^3 × 3^3 × 5 × 13 × 643. Its 5 distinct prime factors produce 128 positive divisors.

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Prime Factor Structure

Factorization String 2^3 × 3^3 × 5 × 13 × 643
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 128
Divisor Sum (σ) 32,457,600
Proper Divisor Sum 23,429,880
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #9027703 ← → #9027757

Radix Representation

Decimal 9027720
Binary 100010011100000010001000 (24 bits)
Octal 0o42340210
Hexadecimal 0x89C088

Divisor Catalog (5 of 128)

1 2 3 4 5

Collatz Trajectory (62 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.

9,027,720 4,513,860 2,256,930 1,128,465 3,385,396

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