λ
Prime Ledger

8,744,320

27 × 5 × 13 × 1051
Abundant Even Composite

8,744,320 has the prime decomposition 2^7 × 5 × 13 × 1051. Its 4 distinct prime factors produce 64 positive divisors.

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Prime Factor Structure

Factorization String 2^7 × 5 × 13 × 1051
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 22,533,840
Proper Divisor Sum 13,789,520
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #8744317 ← → #8744413

Radix Representation

Decimal 8744320
Binary 100001010110110110000000 (24 bits)
Octal 0o41266600
Hexadecimal 0x856D80

Divisor Catalog (5 of 64)

1 2 4 5 8

Collatz Trajectory (181 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.

8,744,320 4,372,160 2,186,080 1,093,040 546,520

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