λ
Ratio Atlas

1,284,584

23 × 72 × 29 × 113
Abundant Even Composite

1,284,584 factors as 2^3 × 7^2 × 29 × 113. Its 48 positive divisors give a proper-divisor sum of 1,639,516, so this integer is abundant. The Collatz stopping time is 54 steps.

Prime Factor Structure

Factorization String 2^3 × 7^2 × 29 × 113
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 2,924,100
Proper Divisor Sum 1,639,516
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #1284583 ← → #1284601

Radix Representation

Decimal 1284584
Binary 100111001100111101000 (21 bits)
Octal 0o4714750
Hexadecimal 0x1399E8

Divisor Catalog (48)

Collatz Trajectory (54 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

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