λ
Prime Ledger

8,712,064

27 × 29 × 2347
Abundant Even Composite

8,712,064 has the prime decomposition 2^7 × 29 × 2347. Its 3 distinct prime factors produce 32 positive divisors.

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Prime Factor Structure

Factorization String 2^7 × 29 × 2347
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 17,962,200
Proper Divisor Sum 9,250,136
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #8712059 ← → #8712091

Radix Representation

Decimal 8712064
Binary 100001001110111110000000 (24 bits)
Octal 0o41167600
Hexadecimal 0x84EF80

Divisor Catalog (5 of 32)

1 2 4 8 16

Collatz Trajectory (119 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.

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