λ
Prime Ledger

2,113,144

23 × 112 × 37 × 59
Abundant Even Composite

2,113,144 has the prime decomposition 2^3 × 11^2 × 37 × 59. Its 4 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 11^2 × 37 × 59
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 4,548,600
Proper Divisor Sum 2,435,456
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #2113129 ← → #2113147

Radix Representation

Decimal 2113144
Binary 1000000011111001111000 (22 bits)
Octal 0o10037170
Hexadecimal 0x203E78

Divisor Catalog (48)

Collatz Trajectory (78 steps to reach 1)

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

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