λ
Prime Ledger

7,920,040

23 × 5 × 389 × 509
Abundant Even Composite

7,920,040 has the prime decomposition 2^3 × 5 × 389 × 509. Its 4 distinct prime factors produce 32 positive divisors.

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Prime Factor Structure

Factorization String 2^3 × 5 × 389 × 509
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 17,901,000
Proper Divisor Sum 9,980,960
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #7920019 ← → #7920043

Radix Representation

Decimal 7920040
Binary 11110001101100110101000 (23 bits)
Octal 0o36154650
Hexadecimal 0x78D9A8

Divisor Catalog (5 of 32)

1 2 4 5 8

Collatz Trajectory (93 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.

7,920,040 3,960,020 1,980,010 990,005 2,970,016

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