λ
Prime Ledger

1,348,080

24 × 3 × 5 × 41 × 137
Abundant Even Composite

1,348,080 has the prime decomposition 2^4 × 3 × 5 × 41 × 137. Its 5 distinct prime factors produce 80 positive divisors.

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Prime Factor Structure

Factorization String 2^4 × 3 × 5 × 41 × 137
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 4,312,224
Proper Divisor Sum 2,964,144
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #1348073 ← → #1348111

Radix Representation

Decimal 1348080
Binary 101001001000111110000 (21 bits)
Octal 0o5110760
Hexadecimal 0x1491F0

Divisor Catalog (5 of 80)

1 2 3 4 5

Collatz Trajectory (186 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.

1,348,080 674,040 337,020 168,510 84,255

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